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Geometry Word Problems Practice Questions Set 3

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Updated on Sep 26, 2011

Geometry Word Problems

The geometry problems in this set  involve lines, angles, triangles, rectangles, squares, and circles. You will learn how to find length, perimeter, area, circumference, and volume, and how you can apply geometry to everyday problems.

  1. Mark intends to tile a kitchen floor, which is 9 ft by 11 ft. How many 6-inch tiles are needed to tile the floor?
    1. 60
    2. 99
    3. 396
    4. 449
  2. A framed print measures 36 in by 22 in. If the print is enclosed by a 2-inch matting, what is the length of the diagonal of the print? Round to the nearest tenth. See illustration.
  3. Geometry

    1. 36.7 in
    2. 39.4 in
    3. 26.5 in
    4. 50 in
  4. A 20-foot light post casts a shadow 25 feet long. At the same time, a building nearby casts a shadow 60 feet long. How tall is the building?
    1. 48 ft
    2. 75 ft
    3. 8 ft
    4. 95 ft
  5. Barbara is wrapping a wedding gift that is contained within a rectangular box 20 in by 18 in by 4 in. How much wrapping paper will she need?
    1. 512 in2
    2. 1,440 in2
    3. 1,024 in2
    4. 92 in2
  6. Mark is constructing a walkway around his inground pool. The pool is 20 ft by 40 ft and the walkway is intended to be 4 ft wide. What is the area of the walkway?
    1. 224 ft2
    2. 416 ft2
    3. 256 ft2
    4. 544 ft2
  7. The picture frame shown below has outer dimensions of 8 in by 10 in and inner dimensions of 6 in by 8 in. Find the area of section A of the frame.
  8. Geometry

    1. 18 in2
    2. 14 in2
    3. 7 in2
    4. 9 in2

For questions 7 and 8, use the following illustration.

Geometry

  1. John is planning to purchase an irregularly shaped plot of land. Referring to the diagram, find the total area of the land.
    1. 6,400 m2
    2. 5,200 m2
    3. 4,500 m2
    4. 4,600 m2
  2. Using the same illustration, determine the perimeter of the plot of land.
    1. 260 m
    2. 340 m
    3. 360 m
    4. 320 m
  3. A weather vane is mounted on top of an 18 ft pole. If a 22 ft guy wire is staked to the ground to keep the pole perpendicular, how far is the stake from the base of the pole?
    1. 160 ft
    2. 38 ft
  4. A surveyor is hired to measure the width of a river. Using the illustration provided, determine the width of the river.
  5. Geometry

    1. 48 ft
    2. 8 ft
    3. 35 ft
    4. 75 ft
  6. A publishing company is designing a book jacket for a newly published textbook. Find the area of the book jacket, given that the front cover is 8 in wide by 11 in high, the binding is 1.5 in by 11 in and the jacket will extend 2 inches inside the front and rear covers.
    1. 236.5 in2
    2. 192.5 in2
    3. 188 in2
    4. 232 in2
  7. A Norman window is to be installed in a new home. Using the dimensions marked on the illustration, find the area of the window to the nearest tenth of an inch. (π = 3.14)
  8. Geometry

    1. 2,453.3 in2
    2. 2,806.5 in2
    3. 147.1 in2
    4. 2,123.6 in2
  9. A surveyor is hired to measure the distance of the opening of a bay. Using the illustration and various measurements determined on land, find the distance of the opening of the bay.
  10. Geometry

    1. 272.7 yds
    2. 82.5 yds
    3. 27.5 yds
    4. 205 yds
  11. A car is initially 200 meters due west of a roundabout (traffic circle). If the car travels to the roundabout, continues halfway around the circle, exits due east, then travels an additional 160 meters, what is the total distance the car has traveled? Refer to diagram.
  12. Geometry

    1. 862.4 m
    2. 611.2 m
    3. 502.4 m
    4. 451.2 m
  13. Steve Fossett is approaching the shores of Australia on the first successful solo hot air balloon ride around the world. His balloon, the Bud Light™ Spirit of Freedom, is being escorted by a boat (directly below him) that is 108 meters away. The boat is 144 meters from the shore. How far is Fossett's balloon from the shore?
    1. 252 m
    2. 95.2 m
    3. 126 m
    4. 180 m
  14. Computer monitors are measured by their diagonals. If a monitor is advertised to be 17 in, what is the actual viewing area, assuming the screen is square? (Round to the nearest tenth.)
    1. 289 in2
    2. 90.25 in2
    3. 144.4 in2
    4. 144.5 in2
  15. An elevated cylindrical shaped water tower is in need of paint. If the radius of the tower is 10 ft and the tower is 40 ft tall, what is the total area to be painted? (π = 3.14)
    1. 1,570 ft2
    2. 2,826 ft2
    3. 2,575 ft2
    4. 3,140 ft2
  16. A sinking ship signals to the shore for help. Three individuals spot the signal from shore. The first individual is directly perpendicular to the sinking ship and 20 meters inland. The second individual is also 20 meters inland but 100 meters to the right of the first individual. The third is also 20 meters inland but 125 meters to the right of the first individual. How far off shore is the sinking ship? See illustration.
  17. Geometry

    1. 60 meters
    2. 136 meters
    3. 100 meters
    4. 80 meters
  18. You are painting the surface of a silo that has a radius of 8 ft and height of 50 ft. What is the total surface area to be painted? Assume the top of the silo is a sphere and sets on the ground. Refer to the illustration.
  19. Geometry

    1. 2,913.92 ft2
    2. 1,607.68 ft2
    3. 2,612.48 ft2
    4. 3,315.84 ft2

The Washington Monument is located in Washington D.C. Use the following illustration, which represents one of four identical sides, to answer questions 435 and 436

Geometry

  1. Find the height of the Washington Monument to the nearest tenth of a meter.
    1. 157.8 m
    2. 169.3 m
    3. 170.1 m
    4. 192.2 m
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