Geometry: Shapes Word Problems

This page is for geometry students who need help, and for teachers and tutors who are looking for practice word problems on shapes.

Geometry

Shapes in geometry.

Triangles

Triangles in geometry.

Rhombus

Rhombus in geometry.

Circles

Circles in geometry.

Rectangles

Rectangles in geometry.

Trapezoids

Trapezoids in geometry.

Squares

Squares in geometry.

Quadrilaterals

Quadrilaterals in geometry.

Parallelograms

Parallelograms in geometry.

Perimeter

Perimeter in geometry.

Area

Area in geometry.

Geometry: Shapes Word Problems

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Geometry: Shapes WordProblems

A birthday present is packaged in a tube
A birthday present is packaged in a tube that has a length of 10 inches and a diameter of 4 ...
A 10 meter ladder is leaning
A 10 meter ladder is leaning aganist a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ...
A man on a 135-ft vertical cliff looks down
A man on a 135-ft vertical cliff looks down at an angle of 16 degrees and sees his friend. How far away is the man from his ...
A rectangular swimming pool measures
A rectangular swimming pool measures 25ft by 50ft and has a 6 foot wide sidewalk around ...
A ladder 39 feet long leans against a building
A ladder 39 feet long leans against a building and reaches the ledge of a window. If the foot of the ladder is 15 feet from the foot of the ...
A 32 foot ramp connects a platform with a sidewalk
A 32 foot ramp connects a platform with a sidewalk that is at ground level. if the platforn is 6 feet above ground ...
A circle with radius 5
A circle with radius 5 has its center at (4,1). the line x-2y+4=0 intersects the circle. find the intersections
The volume of the soda can
The volume of the soda can is fixed at 400 cubic centimeters. Use the volume with each radius to find the possible heights of different sized soda cans. Once the height column is completed calculate the surface areas. The results for radius are already given. Round the height to the nearest tenth and the surface area to the nearest whole number. The given radius are: 1 cm, 2 cm, 3 cm, 4 cm, 5 cm, 6 cm, 7 ...
A large pizza has a diameter
A large pizza has a diameter 35cm. Two large pizzas cost $19.99. A medium pizza has a diameter 30 cm. Three medium pizzas cost $24.99...
A man wants to put up a border around
A man wants to put up a border around his tomato plants. His plants are in a rectangular garden where the length is twice as long as the ...
If a ladder is leaning against a building
If a ladder is leaning against a building, and the distance from the bottom of the ladder to the building is 8 ft. less than the length of the ladder, how high up the side of the building is the top of the ladder if the distance is 1 ...
What is the surface area
What is the surface area of a cylinder that is 4 foot radius and 35 feet long?
From a point 12 m from the base of a flagpole
From a point 12 m from the base of a flagpole the angle of elevation to the top of the pole is 42 ...
A guy wire reaches from the top
A guy wire reaches from the top of a 39.32 ft pole to a point on the ground 15' from the ...
The hypotenuse of a right triangle
The hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle. The shorter side of the triangle is 7 centimeters less that the longer ...
The hypotenuse of a right triangle
The hypotenuse of a right triangle is 16 in. longer than the shortest side and 2 in. longer than the
remaining ...
A dog pen is in the shape of a right triangle
A dog pen is in the shape of a right triangle. The longer leg measures 15 feet. The hypotenuse is 7 feet shorter than three times the length of the shorter ...
Two satellites are orbiting earth
Two satellites are orbiting earth. The path of one has the equation x2 +y2 = 2250000. The orbit of the other is 200 km farther fro the centre of earth. In one ...
The area of a triangle
The area of a triangle is 30in2. The base of the triangle measures 2 in. more than twice the height of the ...
A 20-ft ladder is leaning against a wall
A 20-ft ladder is leaning against a wall. If the ladder is 12 ft from the base of the ...
A 12-ft. ladder is leaning against a building
A 12-ft. ladder is leaning against a building. The bottom of the ladder is 7 ft. from the ...
The length of a certain rectangle
The length, L, of a certain rectangle is four feet more than three times its width, W. The perimeter of the rectangle is 88 ...
The mainsail of a lightning sailboat
The mainsail of a lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24 ft tall mainsail has a leech length of 26ft and if Dacron sailcloth casts $10 per square ...
Jerry has a window in his room
Jerry has a window in his room. His window is a triangle. If angle one measures 63 degrees, and angle two measures 77 ...
A park is twice as long as it is wide
A park is twice as long as it is wide. It's length is 30...
If you rolled up a letter size sheet of paper
If you rolled up an 8 1/2 by 11 in sheet of paper into the largest possible cylinder 8 1/2 in ...
A sailboat has a triangular sail
A sailboat has a triangular sail with an area of 30 square feet. the height of the sail is 7 feet more than the length of the base of the ...
A cattlerancher needs to put a new fence
A cattlerancher needs to put a new fence around his pasture. The pasture is 1 mile long and 1 1/2 long ...
John leaves school to go home
John leaves school to go home. He walks 100 blocks North and then 820 blocks ...
Sarah had an idea
Sarah had an idea, what would happen if you put a golf ball inside a basketball? How much room would there be inside the basketball afterwards. Her golf ball has a radius of 1.68 inches while her basketball has a diameter of 9.4 ...
A 7m ladder against the wall of a building
A 7m ladder against the wall of a building and its foot is 2m from the base of the ...
John is fencing his yard
John is fencing his yard that is 25 feet long and 40 feet wide.  He wants to put fencing around the entire perimeter of his yard.  The fencing he likes is $3 per ...
A running track has straight sides and a semicircular ends
A running track has straight sides and a semicircular ends. If the length of the track is 440 yd and the two straight parts are each 110 yd ...
Two ships leave port at same time
Two ships leave port at same time. Ship x is heading due north and ship y is heading due east. Twelve hours later they are 600 miles apart. If the ship x had traveled 480 miles from the ...
The hypotenuse of a right triangle
The hypotenuse of a right triangle is twice as long as one of the legs and 10 inches longer than the ...
A semicircular window is to be laminated
A semicircular window of radius 12 inches is to be laminated with a sunblock coating that costs $0.75 per square inch to apply. What is the total cost of coating the ...
Jimís nephew owns a triangular plot of land
Jimís nephew owns a triangular plot of land. The perimeter fence that surrounds the land measures 121 feet. The shortest side is 15 feet longer than one-half of the longest side. The second longest side is 4 feet shorter than the longest ...
A sailboat has a triangular sail with an area
A sailboat has a triangular sail with an area of 64 square feet and a height of 16 ...
A ski resort is installing tows
A ski resort is installing tows on its new ski runs. One hill has a vertical height of 500m and is inclined at 42 ...
At noon, ship A is 150 km west of ship B
At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h, How fast is the distance between the ships changing at 4:00 P.M.?
There are two similar triangles
There are two similar triangles. Dimensions of one are 12,16, 20, and the other's are 12,9,...
A clubhouse has a roof
A clubhouse has a roof whose slant height is 13 m and base is 24m. Two extra supports 2m and 3 m from the peak and perpendicular to the base of the peak need to be ...
The hypotenuse of a right triangle
The hypotenuse of a right triangle is twice as long as one of the legs and 8 inches longer than the ...
A ladder reaches a height of 64 feet on a wall
A ladder reaches a height of 64 feet on a wall. if the bottom of the ladder is placed 4 feet away from the ...
The legs of a right triangle
The legs of a right triangle are 12 and 16 inches long, ...
The circumference of a bicycle
The circumference of a bicycle is 50.24 ...
If one leg of a right triangle is 8 inches long
If one leg of a right triangle is 8 inches long, and the other leg is 12 inches ...
Area of a rectangle
Area of a rectangle is 832 inches and length is 64 ...
Find the area of a right triangle
Find the area of a right triangle with legs of length
a = 5 √3 , and
b = 2 √3 + 3 √2
A swimming pool is 10 feet across
A swimming pool is 10 feet ...
Mia wants to build a fence around her yard
Mia wants to build a fence around her circle shaped yard. The yard has a radius of 8 ...
AB is one of the direct common tangent
AB is one of the direct common tangent of two circles with radius 12 cm and 4 cm respectively touching each ...
A sail is in the form of a right triangle
A sail is in the form of a right triangle that is two times as high as it is wide. The sail is made from 4 square meters of ...
The first Ferris wheel was built
The first Ferris wheel was built in 1893 in Chicago. Its diameter was 250 feet. What was the actual circumference of the Ferris wheel? Use 3...
The legs of a right triangle are 12 inches and 8 inches
The legs of a right triangle are 12 inches and 8 ...
When you buy a TV
When you buy a TV, the size refers to the diagonal.  You have a cabinet that is 40 inches by 50 inches.  You want to buy a 72 inch Plasma High Definition TV to watch the Super ...
A ladder 39 feet long leans against a building
A ladder 39 feet long leans against a building and reaches the ledge of a window. If the foot of the ladder is 15 from the foot of the ...
Two triangles are similar
Two triangles are similar. One triangle is 4,2,3 the second one is 12,9,6.
Which fraction represents the ratio of the lengths of the sides of the small triangle to the lengths of the large triangle?
Is it  1/3 , 4/9, 1/2...
The perimeter of a rectangular
The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m2...
To place a 13-foot ramp against the side of a house
To place a 13-foot ramp against the side of a house so the ramp rest on a ledge that is 5 feet above the ...
The minute hand on a clock
The minute hand on a clock is 15cm ...
How far up a wall
How far up a wall will a 10-meter ladder ...
The base of an 8-foot ladder
The base of an 8-foot ladder is placed 2 feet away from a ...
Larry bought a trampoline
Larry bought a trampoline measuring 10 feet by 12 ...
A trapezoid has a slant height
A trapezoid has a slant height of six meters. The trapezoid has an interior height of 9 meters. on one base it measures 5 meters and on the last one measures 77 ...
How far up a wall will an 11m ladder reach
How far up a wall will an 11m ladder ...
The sum of the sides of a right triangle
The sum of the sides of a right triangle is 49cm and the hypotenuse is 41...
The face of the triangular concrete panel
The face of the triangular concrete panel has an area of 45 meters, and its base is 3 meters longer than twice its ...
The legs of a right triangle
The legs of a right triangle are 5 and 7 centimeters long, respectively. What is the length of the hypotenuse? If ...
The length of the hypotenuse of a right triangle
The length of the hypotenuse of a right triangle is three times the length of one of the legs. The length of the other leg is the square root of 72...
The area of a circle is 30 square feet
The area of a circle is 30 square feet. The diameter of a second circle is 2 feet shorter than that of the first ...
The right angle of the triangle
The right angle of the triangle is 1808 feet the slope is 25,2 ...
A road up a hill makes an angle
A road up a hill makes an angle of 5.1 with the horizontal. If the road from the bottom of the hill to the top of the hill is 2.5 miles ...
If a parallelogram has an area
If a parallelogram has an area of 115 square units anda base length of 12, what is the height of the ...
Every time the pedals go through
Every time the pedals go through a 360 degree rotation on a bicycle, the tires rotate 3 times. If the tires are 24 inches in ...
A ladder leans against the side of a building
A ladder leans against the side of a building. The base of the ladder is 5 metres from the building, and the top is 12 metres above the ...
A wood deck that is 10 feet wide
A wood deck that is 10 feet wide surrounds an elliptically shaped pool. The pool is 52 feet long and 20 feet ...
A rectangle is 5 times as long
A rectangle is 5 times as long as it is wide. The area of the rectangle is 100ft squared. How wide is the rectangle.?
Wilbur Wrong is flying his remote-control plane
Wilbur Wrong is flying his remote-control plane in a circle with a radius of 28 meters. His brother, Orville Wrong, clocks the plane at 16 seconds per ...
A therapy pool in the central high scool traning room
A therapy pool in the central high scool traning room is in the shape of a 9 meter ...
proportional triangles
Triangle EFG is similar to triangle ...
The length of a rectangle is 5 cm less
The length of a rectangle is 5 cm less than twice the width. If the area of the rectangle is 88 cm ...
The radius of a bike wheel is 17 inches
The radius of a bike wheel is 17 ...
A rectangular picture frame
A rectangular picture frame is 4 times as wide as its length with a perimeter of 80 ...
The minute hand of a clock
The minute hand of a clock is 6 inches ...
The measure of the largest angle
The measure of the largest angle of a triangle is 12 degress less than the measures of the other two. The smallest angle measures 58 degress less than the largest ...
A street that is long is covered in snow
A street that is long is covered in snow. City workers are using a snowplow to clear the street. A tire on the snowplow has to turn times in traveling the length of the street. What is the diameter of the tire?
Use π = 3.14. Round your answer to the nearest ...
Trapezoids
The trapezoid has a slant length of 6 inches. The interior length is 10 inches. The bases are 5 ...
Tom and Carol are playing a shadow game
Tom and Carol are playing a shadow game. Tom is 6 feet tall and carol is 5 feet tall. If Carol stands at the shadow top of Tom's head, there is two combined shadows total 15 ...
The mast of a sail boat is 18 feet high
The mast of a sail boat is 18 feet high and the boom is 15 feet long. The gooseneck can rotate 360 ...
The 2 parallel sides of a trapezoid
The 2 parallel sides of a trapezoid measures 15 meters and 2 meters. If the height of the trapezoid is 5 ...
ABCD is a quadrilateral
ABCD is a quadrilateral. The angle bisectors of A & B intersect at ...
The area of a circle
The area of a circle is 28 square ...
One angle of a triangle has a measure
One angle of a triangle has a measure that is 10 more than twice that of the ssecond angle. The third angle has a measure 10 less than the ...
What is the area and perimeter
What is the area and perimeter of a fence that is 5 yards long and 3 yards wide?
A smaller circle rolls along the inside curve
A smaller circle rolls along the inside curve of a larger circle. The diameter of the larger circle is three times that of the smaller ...
The perimeter of a rectangle
The perimeter of a rectangle is 80 feet. If its length is 20 feet 6 ...
From a space probe orbiting Jupiterís moon Io
From a space probe orbiting Jupiterís moon Io from an altitude of 552 km, it was observed that the angle of depression from the probe to the surface of this moon was 39.7 degrees. What is the radius of the ...
The answer for the second angle
The answer for the second angle in a triangle is three times as large as the frist. the third angle is one third as large as the second angle. Find the angle ...
In a certain triangle, the second side
In a certain triangle, the second side is one-third of the first side in length. The third side ia 2 meters less than the first side. The perimeter of the triangle is 26 meters. Form an algebraic equation to express the problem, and identify the variables,...
The area of a circle
The area of a circle is 28 sqaure ...
ABCD is a rectangle
ABCD is a rectangle
AC = 4X +6  BD = 5X-2
Find the length of each diagonal.
I have two pairs of parallel sides
I have two pairs of parallel sides, and all of my sides are equal, but I have no right ...
The floor of the shower recess has to be tiled
The floor of the shower recess has to be tiled. It is 1m by 1.2 m long. The tiles to be used are 5cm wide and 10 cm long. Each tile costs 95 ...
The diameter of the circle
The diameter of the circle is 16...
The area of a rectangle
The area of a rectangle is 54cm2. The length is 3 cm less than twice the ...
Given a trapezoid where the small base
Given a trapezoid where the small base is 6 greater than the height and the larger base is 4 greater then three times the height, find all three dimensions (small base, large ...
A small city park consists of a rectangular lawn
A small city park consists of a rectangular lawn surrounded on all sides by a 330 sq. m border of flowers 2.5 m ...
The lenghts of the bases of an isosceles trapezoid
The lenghts of the bases of an isosceles trapezoid are shown below. if the perimeter of the trapezoid is 52 ...
A revolving sprinkler sprays
A revolving sprinkler sprays a lawn for a distance of 7...
What is the area of a trapezoid
What is the area of a trapezoid if the base is 10 and the height is 6
A park is bordered by a river and 2 fences
A park is bordered by a river and 2 fences. A trail that runs right along the river is 2.4 km ...
Marissa has 3 ft by 7ft of paper for a poster
Marissa has 3 ft by 7ft of paper for a poster to make a science ...
A square animal pen
A square animal pen and a pen shaped like an equilateral triangle have equal ...
Rashid can paint 2 square feet of fence
Rashid can paint 2 square feet of fence in 10 ...
The length of a rectangle
The length of a rectangle is 4 less than 3 times its width. Represent the area for this rectangle
In parallelogram ABCD
In parallelogram ABCD, AB=2x+7 BC=4x-5 and CD = 3x-8...
trapezoids
What is the perimeter of a trapezoid if the base is 10 and height is 15?
perimeter
An olypmpic swimming pool is twice as long as its width. The perimeter of the pool is 150 ...
A triangle has a perimeter
A triangle has a perimeter of 197 centimeters. The sum of the smallest and medium sides is 49 cm more than the longest side. The difference of the longest side and shortest sides is 22 ...
A rectangle garden has dimensions 8 yards by 14 yards
A rectangle garden has dimensions 8 yards by 14 yards. Inside this rectangle a path (border) of uniform width is going to be constructed, leaving 55 square yards for grass and ...
The area of a trapezoid is 150 meters
The area of a trapezoid is 150 meters. The height is 10 meters, and one base is two meters longer than the other ...
The height of a triangular sail
The height of a triangular sail is 4 feet more than the length of the base. If the saile has an area of 30 sq. ...
There is a total of 1800 sq ft office space
There is a total of 1800 sq ft office space. The amount of space allocated per person is increased by 25 ft when 6 people are removed. How many people share this renovated space after the ...
Martina fenced off a space in her backyard
Martina fenced off a space in her backyard for her new puppy. The perimeter of the rectangular space is 6 meters. If two opposite sides are each 2 meters ...
The sum of the measures of 3 angles of a quadrilateral
The sum of the measures of 3 angles of a quadrilateral is 270. Is 80 the correct measure for the fourth ...
Deshawn wants to build a fence
Deshawn wants to build a fence around a rectangular space in his backyard. The space is 5 yards long and 3 yards wide. The fence section are 1 yard ...
A square courtyard has a side
A square courtyard has a side length of 50 yards. The city plans to add x yards to each side so that it can pour a sidewalk around ...
The lenght of a rectangle
The lenght of a rectangle is 30cm less then three times the width. the perimeter of this rectangle is 180...
A square has an area
A square has an area of 121 square ...
If the perimeter of a rectangle
If the perimeter of a rectangle is 112 meters, and the length is one meter shorter than twice the ...
A triangle has a perimeter
A triangle has a perimeter of 161 miles. Each of the 2 smaller sides of the triangle is two-thirds the length of the longest ...
Is it possible to make a square garden
Is it possible to make a square garden with 50 feet of ...
What is the perimeter of a square table
What is the perimeter of a square table with a side of 50inches?
What is the perimeter of a rectangle
What is the perimeter of a rectangle that is 5 yd and 3 yd wide?
The outside walls of a house
The outside walls of a house are 2 meters high and the amount you can spend for outside wall materials cannot go over $7500. For each material at the cost given, what is the greatest perimeter the house could have? Wood at $53 per square meter, Stucco at $57 per square meter, Brick at $65 per square ...
If each of the sides of an isosceles triangle
If each of the sides of an isosceles triangle is 5 times the third side and the perimeter of the triangle is 121 ...
Circumference
the area of a circle 28 square ...
Hypotenuse
The length of one leg of a right triangle is 12 meters.  The length of the hypotenuse is 8 meters longer than the other ...
Circle Equation
Ms.speedi is going to have jewels,which cost$100 a piece, set along the outer border of the face of her watch.the jeweler explained that she could place two jewels per cm.,but to estimate the price of the jewels,she would need to know the circumfrence of the watch.the radius of the face of the watch is 2 cm.help Ms. Speedi by finding the approximate cost of the jewels(incuding 8% tax)...
Area of Rectangles
Derek had a rectangular garden that mea-
sured 20 yards by 30 yards. He separated it
into 4 sections, as shown in the diagram. He
planted corn in the largest ...
Pythagorean Theorem
a 24 foot ladder, leaning against a house, reaches the bottom of a window that is 20 feet above the ground. To the nearest ...
Circle Equation
The centre of the smallest circle passing through origin lies on the line X-Y+1=0 then find the coordinates of its centre.
Hypotenuse
one leg of a right triangle is 9 feet less than the hypotenuse, while the other is 2 feet less than the ...
Hypotenuse
Find the length of the ladder that stands 12ft away from a wall and touches the wall 16ft high?
Radius
The distance from Philadelphia to Sea Isle City is 100 mi. A car was driven this
distance using tires with a radius of 14 ...
Hypotenuse
the hypotenuse if a right triangle is 15cm. The other two sides have a total length of 21...
Pythagorean Theorem
find the value of n in each ...
Hypotenuse
1. find the hypotenuse of a right triangle with sides 5 inches and 10 inches
Circles
A street that is 250m long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are  2.1m in diameter. How many times does a tire on the snowplow have to turn in traveling the length of the street?  Use the value3.14 for pi  and do not round intermediate ...
Right Triangles
A lookout tower casts a shadow 150 feet long at the same time that the shadow of a 9 foot truck is 18 feet ...
Right Triangles
The hypotenuse of a right triangle is 50 meters long.  The length of one side is 10 meters longer than the ...
Right Triangles
The longer leg of a right triangle is ten less than three times the shorter leg. The hypotenuse is 4 more than the shorter ...
Radius
According to Kep;er's third law of planetary motion, the radyo T^2/R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units(AU), and T is the number of years it takes for one complete orbit of the sun. Jupiter orbits the sun in 11.86 years with an average radius of 5.2 AU, whereas Saturn orbits the sun in 29.46 years. Find the average radius of the orbit of Saturn.(One AU is the distance from the earth to the sun.)
Right Triangles
The perimeter of a triangle is 46 cm. The triangle is isosceles now, but if its base were lengthened by 4 cm and each leg were shortened by 7 cm, it would be ...
Right Triangles
a field has the shape of a right triangle. one leg is 10 meters longer than twice the length of the other leg. the hypotneuse is 4 meters longer than three times the length of the shorter leg. find the dimensions
Triangles
A tree casts a shadow that is 4 meters long when a meter-stick casts a shadow 1.8 meters ...
Triangles
how many square feet are in a triangle 30 feet high with a 100 foot base
Pythagorean Theorem
the hypotenuse of a right triangle is 24 ft. long. the length of one leg is 20ft more than the other. FInd the lengths of the legs
Right Triangles
The hypotenuse of a right triangle is 40 ft long. One leg is 8 ft shorter than the other. Find the length of the legs
Triangles
The perimeter of a triangle is 60 cm. The longest side is 2 cm less than twice the shortest side and 11 cm greater than the other ...
Right Triangles
A box is 3 inches by 4 inches by 1 ...
Triangles
The hypotenuse of a right triangle has a length of 13 cm. The sum of the lengths of the other two sides is 17 ...
Right Triangles
The longer leg of right triangle measures two feet more than twic the length of the shorter leg. The hypotenuse measures 3 feet more than twice the shorter ...
Right Triangles
the length of the garden is 3 feet more than three times its width. The diagonal is 4feet more than times the ...
Right Triangles
if one leg of a right triangle is 8 inches long, and the other leg is 12 inches ...
Right Triangles
the hypotenuse of a right triangle is 24 ft. long. the length of one leg is 20ft more than the ...
Right Triangles
From a point on the ground the angle of elevation to a ledge on a building is 27 degrees, and the distance to the base of the building is 45 ...
Right Triangles
The longer leg of right triangle measures two feet more than twice the length of the shorter leg. The hypotenuse measures 3 feet more than twice the shorter ...
Right Triangles
the hypotenuse of a right triangle is 24 ft. long. the length of one leg is 20ft more than the other. FInd the lengths of the legs. Round to the nearest hundredth
Right Triangles
Two ships leave port at the same time, Ship X is heading due north and Ship Y is heading due east. Twelve hours later they are 600 miles apart. If the Ship X had traveled 480 miles from the ...
Parallelograms
Janae's backyard is in the shape of a parallelogram. The area of Janae\'s backyard is 175.2 ft2. She goes to the store to buy grass seed and discovers that each bag of seed costs $32.89 and covers 15ft2...
Right Triangles
The length of the hypothenuse of the right triangle is 37 cm and its area is 210 cm^2...
Right Triangles
The radius of a circle is 18 ...
Right Triangles
A 22 foot ladder leans against a house.  The top of the ladder is 12 feet above the ...
Right Triangles
A 10 meter ladder is leaning aganist a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ...
Right Triangles
find the area of a right triangle with legs that have measures of 10 and 15
Right Triangles
Find the height of the triangle if the base is 20 ft and the area is 300ft2
Right Triangles
The hypotenuse of a right triangle is 13 cm. One of the legs is 7 cm longer than the other ...
Right Triangles
A 26 ft long ladder rests against a wall. The distance from the base of the wall to the bottom of the ladder is x. The height at which the ladder rests against the wall is x + 14. Find the distance, ...
Right Triangles
frin a point 4.5 n from the base of a wind turbine , the angles of elevaton to the top of the turbine is 87 ...
Right Triangles
The angle of elevation for a point 64 meters from the base of a building to the top is 35 ...
Right Triangles
as the hands of  a
clock move from 6 am to 6 pm how many times do the hands form a triangle
Right Triangles
A train travels 5000 meters along a track whose angle of elevation has a measurement of 3 degrees. How much did it rise during this distance
Triangles
the hypotenuse of a right triangle is 10 inches longer than the shortest side and 5 inches longer than the remaining ...
Area
how many squre inches of glass are require to cover a phtograph that is 8inch wide and 10inches long
Triangles
One angle of a triangle is three times as large as another. The measure of the third angle is 40 degrees more than the smallest ...
Diameter
a cylinder soup can has a height of 10 inches and a diameter of 6 ...
Triangles
the sail on a sail boat is in the shape of a triangle. if the height of the sail is 5 times the length of the base and the area is 160 square feet, find the dimensions of the sail
Triangles
A triangleflower bed has one side twice the length of the shortest side.The third side is 30 feet longer then the shortest side. If the perimeter of the triangle flower bed is 102 ...
Right Triangles
a ladder 15 feet long rests against the side of a building, with the foot of the ladder 4 feet from the base of the building. Find the measure of the angle hat the ladder makes with the horizontal ground
Radius
the combined area of two circles is 80 pie centimeters.  the length of the radius of one circle is twice the length of the radius of the other ...
Right Triangles
satellites that relay telvision signals to earth cruise at a distance or about 22,200 miles above earths surface. the radius
of earth is about 4,000 miles. find the distance a from the satellite to point T ...
Diameter
The diameter of a small pizza is 16 centimeters. This is 2 centimeters more that two fifths of the diameter of a large ...
Right Triangles
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9 ...
Right Triangles
The hypotenuse of a right triangle is 25 m long. The length of one leg is 10 m less than twice the ...
Right Triangles
Two ships leave port at the same time. Ship X is heading due north and Ship Y is heading due east. Twelve hours later they are 600 miles apart. If the Ship X had traveled 480 miles from the ...
Right Triangles
If one leg of a right triangle is 8 inches long, and the other leg is 12 inches long, how many inches is the ...
Right Triangles
from a point 4.5 n from the base of a wind turbine , the angles of elevaton to the top of the turbine is 87 ...
Right Triangles
A satellite is circling 112 miles above the earth.  When the satellite is directly above point B (point at Earth crust), angle A (angle of depression to horizon, which is a tangent line) is found to be 76.6 ...
Right Triangles
as the hands of  aclock move from 6 am to 6 pm how many times do the hands form a triangle
Right Triangles
A real estate developer owns a piece of land enclosed on three sides by stressts, giving it the shape of a right triangle. The hypotenuse is 8 meters longer than the longer leg, and the shorter leg is 9 meters shorter than the hypotenuse. Find the lengths of the three sides of the property
Right Triangles
A 10 meter ladder is leaning aganist a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ...
geometric proofs, pythagorean theorem, triangles, right triangles, polygons, shapes, plane figures, curves
Triangles
In an isosceles triangle, the measure of one angle is three times the measure of one of the congruent ...
Right Triangles
If one leg of a right triangle is 8 inches long, and the other leg is 12 inches ...
Right Triangles
Using the values A = 26į, B = 33į, h = 14, and L = 110...
Circles
Question #35  
  Assessment Progress
  
  
  
  



At the park there is a pool shaped like a circle with radius 11 yd. A ring-shaped path goes around the pool. Its width is 5 yd . We are going to give a new layer of coating to the path. If one gallon of coating can cover 8 yd , how many gallons of coating do we need? Note that coating comes only by the ...
Triangles
from a ship two lighthouses bear N. 40 degree E. After the ship has sailed 15 mi on a course of 135 degree, they bear 10 degree and 345 degree, ...
Triangles
michelle wants to find the height of the tallest building in her city.She stands 224 feet away from the building. there is a tree 33 feet in front of her,which she knows is 16 feet ...
Right Triangles
The sum of the angles in a triangle is 180 degrees. Ina particula triangle th efirst angle is 18 degress less thtn the secong angle, and the third angle is 70 degress. Write and solve an wquation to find the measures of te first two angles
Right Triangles
A 6-foot person walked form the base of a broadcasting tower directly toward the top of the shadow cast by the tower. When the person was 132 feet from the tower and 3 feet from the top of the tower\'s shadow, the person\'s shadow started appear beyond the tower\'s shadow. Draw a right triangle to represent the problem and show the quantities and use a variable to indicate the unknown height of the tower. ...
Triangles
A right triangle has its hypotenuse one cm more than twice the length of the shortest side. The other side is 7cm longer than the shortest ...
Triangles
A flower bed is the shape of a triangle with one side twice the length of the shortest side, and the third side is 24 feet more than the length of the shortest ...
Circles
Find the area and the circumference of a circle with radius
Right Triangles
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is one foot less than the length of the ...
Triangles
The base of a triangle is 5 inches less than the height. The area of the triangle is 18in^2...
Triangles
The second angle of an architecture's triangle is three times as large as the first.  The third angle is 30 degrees more than the ...
Triangles
the sum of the angles of a triamgle is 180 if one angle of a triangle is ten degrees larger than the smallest angle and the third angle is 10 degrees less than theree times the smallest angle find the measures of the three angles
Triangles
A triangle has sides in a ratio of 4:3:5...
Circles
alek's pizza has delivered a beautiful 16 inch diameter pie to Lee's dorm room.. The pie is sliced into 8 equal sized pieces, but Lee is such a non-conformist he cuts off the edge as pictured. John then takes one of the remaining triangular ...
Triangles
The triangle an area of 115 units ...
Triangles
The height of a triangle is 3 more than the base. The area is 14cm2...
Rhombus
find the perimeter of the square the sum of whose diagonals are 144cm
Triangles
A tree on a hillside casts a shadow x  ft down the hill, where x=185.
If the angle of inclination of the hillside is y (where y= 26 degrees ) to the horizontal
and the angle of elevation of the sun is z (where z is 53 degrees)...
Circles
The width of a photograph is 4 cm more than three tenths of the length. If the width is 13 ...
Triangles
One side of a triangle is 3 inches shorter then the second side. The longest side is 13 and the perimeter of the triangle is 26 Find the lenght of the shortest side
Circles
A street that is 187m  long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are 13  in diameter. How many times does a tire on the snowplow have to turn in traveling the length of the street?
Use the value  3.14 for  . Round your answer to the nearest ...
Circles
A street that is   long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are  in ...
Circles
the combined area of two circles is 80pie centimeters.  the length of the radius of one circles  is twice the length of the radius of the other ...
Circles
Find the area and the circumference of a circle with radius  of 6
Perimeter
The perimeter of an NBA basketball court is 288ft. The length in 44ft longer than the ...
Area
a rectangular swimming pool is three time as long as it is wide and is surrounded by a deck 2.5 m wide. find the dimensions of the pool if the area of the deck is 265 m
Circles
At the park there is a pool shaped like a circle with diameter 22yd. A ring shaped path goes around the pool.  Its width is 6yd.  We are going to give a new layer of coating to the path.  If one gallon of coating can cover 8...
Area
a board game is shaped like a square array and is made up of 36 ...
Area
Arectangular table is four times as long as it is wide.  If the area is 100ft^2...
Area
A sailboat has a triangular sail with an area of 35 square feet. The height of the sail is 3 feet more than the length of the base of the ...
Quadrilaterals
The perimeter of an equilateral triangle is 54 ...
Area
12. A rancher wishes to use 132 ft of fencing to enclose a rectangular training pen and subdivide the region into two smaller pens. If the total enclosed area is 720 ft2...
Area
A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle.  The width of the window is to be 4 feet, but the height (h) is yet to be determined. If 26 ft ^2 of glass is to be ...
Circles
Find the point o the curve y=square root of x that is nearest to the point (3,0)
Circles
A street that is 516 ft  long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are 3.5 ft in ...
Area
Wayne needs to lay a concrete foundation for the space this is 13 feet long, 9 feet wide, and 6 inches in depth. If one bag of cement makes 2.5 cubic feet of concrete, how many bags will Wayne need to purchase to complete the job? You cannot purchase part of the ...
Area
The base of a triangle is 4cm greater than the height. The area is 30cm^2...
Area
A rectangle piece of plywood is trimmed to make a square by cutting a 4-cm strip off the top and a 2-cm strip off one side.  If the area of the original peice is 74 cm2 greater than the area of the square, find the dimentions of the rectangle
Area
find the cost of carpeting a room 12m long and 8m broad with a carpet 75cm broad at the rate of Rs.6...
Area
a rectangular swimming pool is three times as long as it is wide and is surrounded by a deck 2.5 m ...
Area
tina and marcus want to put a border around a flower garden. the garden is in the shape of a rectangle with sides of 7 feet and 15 feet. the border cost $0.75 a ...
Area
A rectangle is Twice as long as it is wide. If both dimensions are increased by 4, its area is increased by 88...
Area
a print is 10 cm longer than it is wide. it is mounted in a frame 1.5 cm wide. the area of the frame is 300...
Area
A rectangle is 3 times as long as it is wide. If the length is increased by 6 and the width by 8, the area is increased by 108...
Parallelograms
Janae's backyard is in the shape of a parallelogram. The area of Janae's backyard is 175.2 ft2. She goes to the store to buy grass seed and discovers that each bag of seed costs $32.89 and covers 15ft2...
Area
If the area of a right-triangularly shaped sail is 20 square feet and its base is 5 ...
Area
how many tiles make up a square using a tile that measures 10\" x12\"
Area
A sail boat has a triangular sail with an area of 56 square feet and a base that measures 8 ...
Area
find the area of pentagon which is placed inside a circle of radius of 9cm
Area
the lenghth of the top of a table is 7m greater than tghe width.  the area is 78m squared.  find the dimensions
Area
how many tiles make up a square using a tile that measures 10" x12"
Perimeter
The perimeter of an athletic field is 240 yd. The length is 15 yd less than twice the width of the ...
Area
a rectangular floor is 18 feet by 10 feet is to be completely covered with carpeting that costs x dollars per square yard. in terms of ...
Area
The length of a rectangular floor is 6 meters less than twice the width.  If a diagonal of the rectangle is 15 meters, find the length and width of the floor
Area
the length of a rectangle is 3centimeter more than twice the ...
Rectangles
The length of a rectangle is 8 less thab the ...
Rectangles
the length of a rectangle is twice its width. When the width is doubled and the length is decreased by 4ft, the perimeter is 128 sq. ...
Area
a 300 square foot rectangular garden is to surrounded on three sides by shrubbery costing $10 per foot and on the remaining side by a fence costing $5 per ...
Area
the area of a rectangle is 216 square meters. the length is 6 meters less than two tiems the ...
Trapezoids
How many different ways can  6 trapezoids  tables be arranged
Parallelograms
find the values of x and y that ensure each quadrilateral is a paealleogram.
Area
The area of a rectangle is 66.  The length is 4 more than 6 times the width, find the length and width
Parallelograms
find the area of a parallelogram with b=22m and h=20m
Rectangles
the perimeter of a rectangle is 136 feet. the length is seven feet less than four times the width. find the length and width
Trapezoids
in the accompanying diagram of isosceles trapezoid DEFG, DE is parallel to GF, DE= 4x-2, EF= 3x+2, FG=  5x-3, and
GF= 2x+5...
Trapezoids
find the measures of the missing angles and sides
Rectangles
the length of a rectangle is 50 miles less than twice the width. the perimeter is 284 ...
Rectangles
Find the area of the rectangle if the radius of each circle is three (drawing: rectangle containing 8 circles of equal size - 4 on top row & 4 on bottom row)
Perimeter
Her  perimeter of the garden is 36feet. She wants to surround the garden with bicks. Each brick is 6...
Parallelograms
each of the two larger angeles of a parallelogram measures 5 degrees more then six times the measure of each of the two smaller angeles. find the measures of the four angles
Perimeter
A rectangular corral is surrounded by a chain link fence that costs $12.00 per meter.The corral is separated into two smaller rectangular pens by a barbed wire fence that costs $4.00 per meter. Altogether 160 meters of fencing were used at a cost of $1760...
Perimeter
A rectangular field is 5 yards longer than twice the ...
Perimeter
A rectangle is 6 times long as it is wide. The perimeter is 120 cm. Find the dimensions of the ...
Perimeter
the length of  triangle is 93ft.side a  of triangle is twice as long as side b.side c is 3ft. longer than side ...
Perimeter
the length of a basketball court is 34 ft. greater than the width. The permiter of a basketball court is 268 feet. Write and solve and equation to find the ...
Perimeter
find the perimeter of a hexagon, in terms of ...
Perimeter
The length of a rectangle is 8 ft. longer than twice the width.  If the Perimeter is 88 ft....
Perimeter
The length of the smallest side of a triangle is one-half the length of the longest side.  The length of the middle side is 5 less than the length of the longest side.  The perimeter of the triangle is 55 cm ...
Perimeter
mr. chain has 3 sails on a ship two of the sails has a side of 6ft and base of 4 meters and a side of 10 ft the third sail has double measements of the first two sails how much farbic does mr . chain need for the third ...
Perimeter
The length of each side of an equilateral triangle is 5 centimeters more than the length of each side of a square. The perimeter two figures are ...
Perimeter
the cat was having an orgasm how many times did he need to cum before it happned?
Perimeter
The length of a rectangle is 7 centimeters greater than the width. The perimeter is 54 ...
Perimeter
A rectangle and an equilateral triangle have the same perimeter. The length ok the rectangle is twice its width. Each side of the triangle is 45...
Perimeter
The perimeter of a rectangle is 6 times the width. The length is 3 more than the ...
Perimeter
The length of a rectangle is twice the width. The perimeter
is 48 ...
Perimeter
Find the perimeter of a triangle if one side is 16 feet, another is two-sevenths the ...
Perimeter
The length of a rectangle exceeds its width by4 feet.  If the width is doubled and the length is decreased by 2 feet, a new rectangle is formed whose perimeter is 8 feet more then the perimeter of the orginal ...
Perimeter
The length of a rectangle is 10 more than twice the width. The perimeter of the rectangle is 35 more than 5 times the ...
Perimeter
If the perimeter of a rectangular field is 280 ft and the width is 20 more than one half of the ...
Perimeter
a regular octagon has sides of length 4x+3.  the perimeter of the regular octagon is 216...
Perimeter
on a triangle with two equal sides, the base i three times the size of either of the two equal sides. the perimeter of the triangle is 35 ...
Perimeter
the perimeter of a rectangle ti 122 meters. find the dimensions if the length is 35 meters longer than the ...
Perimeter
the length of a rectangle is 4 inches greater than the widtj. the perimeter is 24 inches. find the length and width

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