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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 725 · 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 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  2. 2.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 48 sq cm (c) 13 sq cm (d) 26 sq cm
  3. 3.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 108 cm
  4. 4.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 18 cm (d) 19 cm
  5. 5.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
  6. 6.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
  7. 7.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 75 cm (b) 20 cm (c) 40 cm (d) 35 cm
  8. 8.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 50 cm (b) 39 cm (c) 154 cm (d) 25 cm
  9. 9.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 15 sq cm (c) 30 sq cm (d) 56 sq cm
  10. 10.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 4 cm (c) 3 cm (d) 2 cm
  11. 11.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 3 cm (c) 1 cm (d) 4 cm
  12. 12.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 91 cm (c) 33 cm (d) 40 cm
  13. 13.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 200 cm
  14. 14.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 30 cm
  15. 15.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 36 sq cm (c) 18 sq cm (d) 72 sq cm
  16. 16.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 22 cm (c) 40 cm (d) 44 cm
  17. 17.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 12 cm (c) 187 cm (d) 24 cm
  18. 18.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 180 sq cm (c) 56 sq cm (d) 28 sq cm
  19. 19.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 38 cm (b) 84 cm (c) 31 cm (d) 19 cm
  20. 20.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 63 cm
  21. 21.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 18 cm (d) 16 cm
  22. 22.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
  23. 23.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 28 cm
  24. 24.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 9 cm (c) 144 cm (d) 18 cm
  25. 25.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  26. 26.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 52 sq cm (c) 65 sq cm (d) 17 sq cm
  27. 27.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 24 sq cm (d) 32 sq cm
  28. 28.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 32 cm (d) 12 cm
  29. 29.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 4 cm (c) 36 cm (d) 5 cm
  30. 30.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
  31. 31.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 44 sq cm (d) 33 sq cm
  32. 32.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 11 cm (c) 10 cm (d) 20 cm
  33. 33.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 29 cm (b) 39 cm (c) 16 cm (d) 32 cm
  34. 34.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 144 sq cm (b) 126 sq cm (c) 50 sq cm (d) 25 sq cm
  35. 35.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 52 sq cm (c) 26 sq cm (d) 162 sq cm
  36. 36.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 20 cm (c) 13 cm (d) 26 cm
  37. 37.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 110 cm (c) 42 cm (d) 21 cm
  38. 38.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 34 sq cm (c) 51 sq cm (d) 38 sq cm
  39. 39.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 3 cm (c) 15 cm (d) 2 cm
  40. 40.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

Answer key

  1. 36 sq cm
  2. 40 sq cm
  3. 10 cm
  4. 18 cm
  5. 169 sq cm
  6. 144 sq cm
  7. 40 cm
  8. 50 cm
  9. 56 sq cm
  10. 2 cm
  11. 2 cm
  12. 40 cm
  13. 11 cm
  14. 3 cm
  15. 72 sq cm
  16. 44 cm
  17. 12 cm
  18. 180 sq cm
  19. 38 cm
  20. 8 cm
  21. 18 cm
  22. 81 sq cm
  23. 22 cm
  24. 9 cm
  25. 64 sq cm
  26. 52 sq cm
  27. 24 sq cm
  28. 24 cm
  29. 4 cm
  30. 12 sq cm
  31. 33 sq cm
  32. 10 cm
  33. 32 cm
  34. 126 sq cm
  35. 144 sq cm
  36. 26 cm
  37. 42 cm
  38. 34 sq cm
  39. 2 cm
  40. 100 sq cm

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