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Find the area of trapezoids and composite shapes

Grade 10 math · Fieldbook Learning

Name ______________________ Date __________

Trapezoid: half the sum of the parallel sides times the height. For an L-shape, subtract the missing piece.

  1. A trapezoid has parallel sides of 8 cm and 8 cm and a height of 2 cm. What is its area in square centimeters?
  2. A trapezoid has parallel sides of 6 cm and 5 cm and a height of 12 cm. What is its area in square centimeters?
  3. A trapezoid has parallel sides of 12 cm and 10 cm and a height of 4 cm. What is its area in square centimeters?
  4. A trapezoid has parallel sides of 11 cm and 11 cm and a height of 8 cm. What is its area in square centimeters?
  5. An L-shaped room is a 8 m by 15 m rectangle with a 4 m by 4 m corner cut out. What is its area in square meters?
  6. An L-shaped room is a 15 m by 14 m rectangle with a 3 m by 10 m corner cut out. What is its area in square meters?
  7. An L-shaped room is a 16 m by 9 m rectangle with a 3 m by 2 m corner cut out. What is its area in square meters?
  8. An L-shaped room is a 8 m by 15 m rectangle with a 3 m by 3 m corner cut out. What is its area in square meters?
  9. A trapezoid has parallel sides of 4 cm and 4 cm and a height of 19 cm. What is its area in square centimeters?
  10. A trapezoid has parallel sides of 5 cm and 9 cm and a height of 19 cm. What is its area in square centimeters?
  11. A trapezoid has parallel sides of 19 cm and 18 cm and a height of 8 cm. What is its area in square centimeters?
  12. A trapezoid has parallel sides of 13 cm and 15 cm and a height of 10 cm. What is its area in square centimeters?
  13. An L-shaped room is a 8 m by 16 m rectangle with a 5 m by 5 m corner cut out. What is its area in square meters?
  14. An L-shaped room is a 8 m by 17 m rectangle with a 2 m by 8 m corner cut out. What is its area in square meters?
  15. An L-shaped room is a 23 m by 11 m rectangle with a 13 m by 5 m corner cut out. What is its area in square meters?
  16. An L-shaped room is a 15 m by 23 m rectangle with a 10 m by 18 m corner cut out. What is its area in square meters?
  17. An L-shaped room is a 33 m by 12 m rectangle with a 28 m by 5 m corner cut out. What is its area in square meters?
  18. An L-shaped room is a 24 m by 22 m rectangle with a 8 m by 7 m corner cut out. What is its area in square meters?
  19. An L-shaped room is a 22 m by 20 m rectangle with a 19 m by 10 m corner cut out. What is its area in square meters?
  20. An L-shaped room is a 26 m by 14 m rectangle with a 18 m by 9 m corner cut out. What is its area in square meters?
More free practice: fieldbooklearning.com/practice/grade-10/area-of-trapezoids-and-composite-shapes/

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Answer key: Find the area of trapezoids and composite shapes

  1. 16
  2. 66
  3. 44
  4. 88
  5. 104
  6. 180
  7. 138
  8. 111
  9. 76
  10. 133
  11. 148
  12. 140
  13. 103
  14. 120
  15. 188
  16. 165
  17. 256
  18. 472
  19. 250
  20. 202