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Area of shapes made from rectangles and triangles

6th grade (Year 7 in England) · 16 questions · Common Core: 6.G.A.1 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures

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Date

Score/ 16

  1. Question 1

    A rectangular pond is 9 m by 4 m. A path 1 m wide goes all the way around it. What is the area of the path, in m²?

    Answer

  2. Question 2

    An L-shaped room is a 10 m by 8 m rectangle with a 3 m by 2 m rectangle missing from one corner. What is its floor area, in m²?

    Answer

  3. Question 3

    A house-shaped sign is a 8 cm wide, 9 cm tall rectangle with a triangle on top. The triangle has the same base and is 4 cm tall. What is the total area, in cm²?

    Answer

  4. Question 4

    A rectangular pond is 6 m by 7 m. A path 1 m wide goes all the way around it. What is the area of the path, in m²?

    Answer

  5. Question 5

    An L-shaped room is a 9 m by 9 m rectangle with a 3 m by 4 m rectangle missing from one corner. What is its floor area, in m²?

    Answer

  6. Question 6

    A house-shaped sign is a 14 cm wide, 8 cm tall rectangle with a triangle on top. The triangle has the same base and is 5 cm tall. What is the total area, in cm²?

    Answer

  7. Question 7

    A rectangular pond is 11 m by 5 m. A path 1 m wide goes all the way around it. What is the area of the path, in m²?

    Answer

  8. Question 8

    An L-shaped room is a 13 m by 11 m rectangle with a 9 m by 5 m rectangle missing from one corner. What is its floor area, in m²?

    Answer

  9. Question 9

    A house-shaped sign is a 6 cm wide, 6 cm tall rectangle with a triangle on top. The triangle has the same base and is 2 cm tall. What is the total area, in cm²?

    Answer

  10. Question 10

    A rectangular pond is 8 m by 6 m. A path 2 m wide goes all the way around it. What is the area of the path, in m²?

    Answer

  11. Question 11

    An L-shaped room is a 8 m by 7 m rectangle with a 3 m by 2 m rectangle missing from one corner. What is its floor area, in m²?

    Answer

  12. Question 12

    A house-shaped sign is a 8 cm wide, 8 cm tall rectangle with a triangle on top. The triangle has the same base and is 3 cm tall. What is the total area, in cm²?

    Answer

  13. Question 13

    A rectangular pond is 10 m by 10 m. A path 1 m wide goes all the way around it. What is the area of the path, in m²?

    Answer

  14. Question 14

    An L-shaped room is a 8 m by 8 m rectangle with a 5 m by 4 m rectangle missing from one corner. What is its floor area, in m²?

    Answer

  15. Question 15

    A house-shaped sign is a 10 cm wide, 9 cm tall rectangle with a triangle on top. The triangle has the same base and is 6 cm tall. What is the total area, in cm²?

    Answer

  16. Question 16

    A rectangular pond is 4 m by 10 m. A path 1 m wide goes all the way around it. What is the area of the path, in m²?

    Answer

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Answer key: Area of shapes made from rectangles and triangles

  1. 1. 30

  2. 2. 74

  3. 3. 88

  4. 4. 30

  5. 5. 69

  6. 6. 147

  7. 7. 36

  8. 8. 98

  9. 9. 42

  10. 10. 72

  11. 11. 50

  12. 12. 76

  13. 13. 44

  14. 14. 44

  15. 15. 120

  16. 16. 32