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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 442 · 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 square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
  2. 2.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 36 sq cm (c) 48 sq cm (d) 18 sq cm
  3. 3.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 32 sq cm (c) 24 sq cm (d) 12 sq cm
  4. 4.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
  5. 5.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 19 cm (c) 2 cm (d) 3 cm
  6. 6.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 52 cm (b) 64 cm (c) 240 cm (d) 32 cm
  7. 7.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 19 sq cm (c) 38 sq cm (d) 84 sq cm
  8. 8.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 26 cm
  9. 9.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  10. 10.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 66 cm (c) 7 cm (d) 14 cm
  11. 11.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 30 cm (d) 32 cm
  12. 12.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 72 cm (c) 14 cm (d) 8 cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  14. 14.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 34 sq cm (c) 52 sq cm (d) 17 sq cm
  15. 15.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 48 cm (b) 39 cm (c) 24 cm (d) 135 cm
  16. 16.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  17. 17.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 56 sq cm (c) 30 sq cm (d) 15 sq cm
  18. 18.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 8 cm (c) 7 cm (d) 14 cm
  19. 19.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 88 sq cm (c) 19 sq cm (d) 99 sq cm
  20. 20.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 187 sq cm (d) 170 sq cm
  21. 21.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 39 cm
  22. 22.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 90 cm
  23. 23.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 40 cm (c) 51 cm (d) 20 cm
  24. 24.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 14 cm (c) 48 cm (d) 8 cm
  25. 25.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 51 cm (c) 8 cm (d) 5 cm
  26. 26.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 240 sq cm (d) 220 sq cm
  27. 27.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 16 sq cm (b) 66 sq cm (c) 32 sq cm (d) 55 sq cm
  28. 28.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 29 sq cm (b) 198 sq cm (c) 216 sq cm (d) 58 sq cm
  29. 29.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 110 cm (b) 32 cm (c) 21 cm (d) 42 cm
  30. 30.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 180 cm (b) 58 cm (c) 29 cm (d) 49 cm
  31. 31.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 17 sq cm (c) 72 sq cm (d) 34 sq cm
  32. 32.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 23 cm (c) 30 cm (d) 26 cm
  33. 33.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 46 cm (b) 29 cm (c) 204 cm (d) 58 cm
  34. 34.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  35. 35.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 38 cm (d) 48 cm
  36. 36.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  37. 37.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 90 sq cm (c) 100 sq cm (d) 38 sq cm
  38. 38.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 38 cm (b) 50 cm (c) 156 cm (d) 25 cm
  39. 39.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
  40. 40.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 198 cm

Answer key

  1. 81 sq cm
  2. 32 sq cm
  3. 32 sq cm
  4. 38 cm
  5. 2 cm
  6. 64 cm
  7. 84 sq cm
  8. 3 cm
  9. 169 sq cm
  10. 7 cm
  11. 34 cm
  12. 7 cm
  13. 196 sq cm
  14. 52 sq cm
  15. 48 cm
  16. 100 sq cm
  17. 56 sq cm
  18. 7 cm
  19. 88 sq cm
  20. 170 sq cm
  21. 4 cm
  22. 7 cm
  23. 40 cm
  24. 7 cm
  25. 4 cm
  26. 220 sq cm
  27. 55 sq cm
  28. 198 sq cm
  29. 42 cm
  30. 58 cm
  31. 60 sq cm
  32. 26 cm
  33. 58 cm
  34. 121 sq cm
  35. 38 cm
  36. 25 sq cm
  37. 90 sq cm
  38. 50 cm
  39. 36 sq cm
  40. 12 cm

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