Skills · Geometry · Geometry Basics

Area of composite figures

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. an L: 8 across the bottom, 9 up the left, 5 across the top, 7 up the right8759
    Find the area.
  2. an L: 10 across the bottom, 7 up the left, 4 across the top, 3 up the right10347
    Find the area.
  3. an L: 11 across the bottom, 9 up the left, 6 across the top, 4 up the right11469
    Find the area.
  4. an L: 8 across the bottom, 5 up the left, 2 across the top, 3 up the right8325
    Find the area.
  5. an L: 14 across the bottom, 9 up the left, 11 across the top, 3 up the right143119
    Find the area.
  6. an L: 8 across the bottom, 7 up the left, 4 across the top, 4 up the right8447
    Find the area.
  7. an L: 12 across the bottom, 12 up the left, 8 across the top, 4 up the right124812
    Find the area.
  8. an L: 6 across the bottom, 10 up the left, 3 across the top, 3 up the right63310
    Find the area.

Answer key

  1. 66 square units
  2. 46 square units
  3. 74 square units
  4. 28 square units
  5. 108 square units
  6. 44 square units
  7. 112 square units
  8. 39 square units

Sample Sheet · Level 3

  1. a rectangle 13 by 19 with a 5 by 15 corner cut out1319515
    Find the area.
  2. a U: 8 by 8 with a 4 wide, 3 deep notch cut from the top8843
    Find the area.
  3. a T: a bar 8 by 3 over a stem 4 by 34338
    Find the area.
  4. a house: a rectangle 7 by 7 under a triangle of height 6776
    Find the area.
  5. an L: 9 across the bottom, 11 up the left, 6 across the top, 7 up the right97611
    Find the area.
  6. a house: a rectangle 9 by 7 under a triangle of height 4974
    Find the area.
  7. a U: 15 by 7 with a 7 wide, 4 deep notch cut from the top15774
    Find the area.
  8. a rectangle 15 by 10 with a 6 by 4 corner cut out151064
    Find the area.

Answer key

  1. 172 square units
  2. 52 square units
  3. 36 square units
  4. 70 square units
  5. 87 square units
  6. 81 square units
  7. 77 square units
  8. 126 square units

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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