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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 526 · 40 questions
TalentJR

How to solve it (Round or inside?): Rectangle: perimeter = 2 × (length + width); area = length × width. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4. Missing side: width = area ÷ length.

NameDateTime takenScore ___ / 40
  1. 1.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 17 sq cm (c) 34 sq cm (d) 42 sq cm
  2. 2.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 13 cm (c) 12 cm (d) 24 cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  5. 5.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 22 cm (d) 11 cm
  6. 6.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 187 cm (c) 45 cm (d) 56 cm
  7. 7.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 32 sq cm (c) 12 sq cm (d) 24 sq cm
  8. 8.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 5 cm (c) 4 cm (d) 3 cm
  9. 9.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 16 cm (c) 28 cm (d) 32 cm
  10. 10.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 12 cm (c) 24 cm (d) 20 cm
  11. 11.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  12. 12.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 200 sq cm (c) 58 sq cm (d) 29 sq cm
  13. 13.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 42 sq cm (d) 12 sq cm
  14. 14.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 3 cm (c) 14 cm (d) 4 cm
  15. 15.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 12 cm (d) 35 cm
  16. 16.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  17. 17.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  18. 18.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 55 sq cm (d) 44 sq cm
  19. 19.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 128 cm
  20. 20.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 27 cm
  21. 21.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 22 sq cm (c) 44 sq cm (d) 117 sq cm
  22. 22.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 63 sq cm (d) 72 sq cm
  23. 23.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  24. 24.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 165 sq cm (d) 180 sq cm
  25. 25.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 187 cm
  26. 26.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 72 cm (d) 26 cm
  27. 27.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  28. 28.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 22 sq cm (d) 105 sq cm
  29. 29.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 28 cm (c) 45 cm (d) 14 cm
  30. 30.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 17 cm (d) 30 cm
  31. 31.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 50 cm (c) 25 cm (d) 40 cm
  32. 32.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
  33. 33.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 34 cm (c) 19 cm (d) 38 cm
  34. 34.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 52 sq cm (c) 133 sq cm (d) 26 sq cm
  35. 35.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 84 cm (c) 38 cm (d) 31 cm
  36. 36.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 14 sq cm (c) 9 sq cm (d) 21 sq cm
  37. 37.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 4 cm (c) 8 cm (d) 5 cm
  38. 38.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 37 cm (d) 80 cm
  39. 39.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 105 cm
  40. 40.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 28 sq cm (c) 14 sq cm (d) 24 sq cm

Answer key

  1. 42 sq cm
  2. 12 cm
  3. 49 sq cm
  4. 36 sq cm
  5. 22 cm
  6. 56 cm
  7. 32 sq cm
  8. 2 cm
  9. 32 cm
  10. 24 cm
  11. 81 sq cm
  12. 180 sq cm
  13. 35 sq cm
  14. 3 cm
  15. 24 cm
  16. 225 sq cm
  17. 25 sq cm
  18. 44 sq cm
  19. 9 cm
  20. 4 cm
  21. 117 sq cm
  22. 63 sq cm
  23. 121 sq cm
  24. 165 sq cm
  25. 12 cm
  26. 34 cm
  27. 196 sq cm
  28. 105 sq cm
  29. 28 cm
  30. 22 cm
  31. 50 cm
  32. 100 sq cm
  33. 38 cm
  34. 133 sq cm
  35. 38 cm
  36. 14 sq cm
  37. 4 cm
  38. 42 cm
  39. 8 cm
  40. 24 sq cm

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