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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 726 · 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 has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 18 cm (c) 2 cm (d) 4 cm
  2. 2.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 30 cm (c) 17 cm (d) 11 cm
  3. 3.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 12 cm (c) 13 cm (d) 24 cm
  4. 4.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 76 cm (d) 42 cm
  5. 5.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
  6. 6.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 29 cm (d) 39 cm
  7. 7.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
  8. 8.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  9. 9.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 40 cm (c) 44 cm (d) 42 cm
  10. 10.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 32 cm (d) 96 cm
  11. 11.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 22 cm (c) 12 cm (d) 11 cm
  12. 12.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 40 cm
  13. 13.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  14. 14.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 204 sq cm (c) 221 sq cm (d) 29 sq cm
  15. 15.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 32 cm (c) 24 cm (d) 20 cm
  16. 16.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
  17. 17.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 11 sq cm (d) 36 sq cm
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  19. 19.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
  20. 20.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 42 sq cm (c) 68 sq cm (d) 21 sq cm
  21. 21.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 66 sq cm (d) 55 sq cm
  22. 22.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 11 cm (c) 170 cm (d) 12 cm
  23. 23.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 80 sq cm (c) 70 sq cm (d) 34 sq cm
  24. 24.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 43 cm (c) 25 cm (d) 50 cm
  25. 25.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 112 sq cm (c) 22 sq cm (d) 96 sq cm
  26. 26.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 11 cm (c) 22 cm (d) 12 cm
  27. 27.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 21 sq cm (b) 105 sq cm (c) 42 sq cm (d) 90 sq cm
  28. 28.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 22 cm (c) 4 cm (d) 3 cm
  29. 29.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 96 sq cm (c) 19 sq cm (d) 38 sq cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 19 cm (d) 18 cm
  31. 31.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 50 sq cm (c) 15 sq cm (d) 30 sq cm
  32. 32.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 11 cm (d) 10 cm
  33. 33.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 31 cm (d) 84 cm
  34. 34.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 51 sq cm (d) 34 sq cm
  35. 35.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 36 cm (c) 130 cm (d) 46 cm
  36. 36.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 45 sq cm (d) 54 sq cm
  37. 37.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 16 cm (c) 32 cm (d) 27 cm
  38. 38.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 50 cm (b) 41 cm (c) 25 cm (d) 144 cm
  39. 39.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 28 cm (d) 22 cm
  40. 40.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 64 cm

Answer key

  1. 2 cm
  2. 22 cm
  3. 12 cm
  4. 46 cm
  5. 100 sq cm
  6. 32 cm
  7. 225 sq cm
  8. 196 sq cm
  9. 44 cm
  10. 40 cm
  11. 11 cm
  12. 3 cm
  13. 64 sq cm
  14. 204 sq cm
  15. 24 cm
  16. 144 sq cm
  17. 30 sq cm
  18. 25 sq cm
  19. 121 sq cm
  20. 68 sq cm
  21. 55 sq cm
  22. 11 cm
  23. 70 sq cm
  24. 50 cm
  25. 96 sq cm
  26. 11 cm
  27. 90 sq cm
  28. 3 cm
  29. 84 sq cm
  30. 18 cm
  31. 50 sq cm
  32. 10 cm
  33. 38 cm
  34. 34 sq cm
  35. 46 cm
  36. 45 sq cm
  37. 32 cm
  38. 50 cm
  39. 22 cm
  40. 5 cm

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