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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 82 · 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 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 10 cm (d) 17 cm
  2. 2.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
  3. 3.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 120 sq cm (d) 108 sq cm
  4. 4.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 32 cm (c) 30 cm (d) 17 cm
  5. 5.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 58 sq cm (b) 200 sq cm (c) 180 sq cm (d) 29 sq cm
  6. 6.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 8 cm (c) 4 cm (d) 2 cm
  7. 7.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 19 cm (c) 38 cm (d) 88 cm
  8. 8.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 52 sq cm (c) 32 sq cm (d) 16 sq cm
  9. 9.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 4 cm (c) 3 cm (d) 2 cm
  10. 10.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 36 cm (c) 33 cm (d) 18 cm
  11. 11.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 45 sq cm (c) 17 sq cm (d) 30 sq cm
  12. 12.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  13. 13.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 68 cm (c) 42 cm (d) 21 cm
  14. 14.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 12 sq cm (c) 8 sq cm (d) 16 sq cm
  15. 15.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  16. 16.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 21 cm (c) 26 cm (d) 40 cm
  17. 17.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 16 cm (c) 8 cm (d) 9 cm
  18. 18.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
  19. 19.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 15 sq cm (c) 30 sq cm (d) 55 sq cm
  20. 20.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 68 sq cm (d) 40 sq cm
  21. 21.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 154 cm (c) 12 cm (d) 24 cm
  22. 22.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 204 cm (b) 58 cm (c) 29 cm (d) 46 cm
  23. 23.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 14 sq cm (d) 21 sq cm
  24. 24.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 18 cm (c) 8 cm (d) 4 cm
  25. 25.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 8 cm (c) 5 cm (d) 4 cm
  26. 26.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 40 sq cm (c) 20 sq cm (d) 98 sq cm
  27. 27.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  28. 28.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 136 cm (d) 42 cm
  29. 29.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 70 sq cm (c) 17 sq cm (d) 34 sq cm
  30. 30.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 16 cm (c) 105 cm (d) 8 cm
  31. 31.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  32. 32.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  33. 33.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 12 cm (c) 55 cm (d) 6 cm
  34. 34.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 16 cm (d) 14 cm
  35. 35.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  36. 36.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 60 cm (b) 48 cm (c) 216 cm (d) 30 cm
  37. 37.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  38. 38.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  39. 39.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
  40. 40.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 39 cm (b) 48 cm (c) 135 cm (d) 24 cm

Answer key

  1. 20 cm
  2. 36 sq cm
  3. 108 sq cm
  4. 34 cm
  5. 180 sq cm
  6. 2 cm
  7. 38 cm
  8. 39 sq cm
  9. 2 cm
  10. 36 cm
  11. 30 sq cm
  12. 121 sq cm
  13. 42 cm
  14. 12 sq cm
  15. 225 sq cm
  16. 26 cm
  17. 8 cm
  18. 7 cm
  19. 44 sq cm
  20. 51 sq cm
  21. 12 cm
  22. 58 cm
  23. 14 sq cm
  24. 4 cm
  25. 4 cm
  26. 84 sq cm
  27. 100 sq cm
  28. 50 cm
  29. 70 sq cm
  30. 8 cm
  31. 64 sq cm
  32. 81 sq cm
  33. 6 cm
  34. 16 cm
  35. 196 sq cm
  36. 60 cm
  37. 49 sq cm
  38. 144 sq cm
  39. 169 sq cm
  40. 48 cm

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