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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 573 · 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 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 45 cm (c) 50 cm (d) 100 cm
  2. 2.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 21 cm (c) 5 cm (d) 4 cm
  3. 3.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 28 sq cm (c) 45 sq cm (d) 14 sq cm
  4. 4.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 7 cm (c) 60 cm (d) 8 cm
  5. 5.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 11 cm (c) 19 cm (d) 22 cm
  6. 6.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 24 cm (c) 28 cm (d) 40 cm
  7. 7.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 48 sq cm (d) 40 sq cm
  8. 8.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
  9. 9.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 15 sq cm (c) 30 sq cm (d) 64 sq cm
  10. 10.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  11. 11.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 30 sq cm (c) 26 sq cm (d) 40 sq cm
  12. 12.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  13. 13.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 38 cm (c) 19 cm (d) 30 cm
  14. 14.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 13 cm (c) 187 cm (d) 24 cm
  15. 15.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 11 sq cm (d) 22 sq cm
  16. 16.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 68 cm
  17. 17.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 72 sq cm (d) 34 sq cm
  18. 18.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 34 cm (d) 17 cm
  19. 19.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 60 sq cm (c) 34 sq cm (d) 72 sq cm
  20. 20.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 44 sq cm (d) 76 sq cm
  21. 21.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 54 cm (c) 140 cm (d) 27 cm
  22. 22.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 34 cm (b) 29 cm (c) 60 cm (d) 17 cm
  23. 23.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
  24. 24.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 84 cm (c) 19 cm (d) 38 cm
  25. 25.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 65 sq cm (d) 52 sq cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  27. 27.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 18 cm (d) 28 cm
  28. 28.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 10 cm (d) 9 cm
  29. 29.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 10 cm (c) 20 cm (d) 17 cm
  30. 30.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 19 sq cm (d) 70 sq cm
  31. 31.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 200 sq cm (d) 180 sq cm
  32. 32.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 176 sq cm (c) 54 sq cm (d) 27 sq cm
  33. 33.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 9 cm (c) 16 cm (d) 8 cm
  34. 34.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 198 cm (c) 24 cm (d) 12 cm
  35. 35.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 180 sq cm (c) 28 sq cm (d) 56 sq cm
  36. 36.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 204 sq cm (c) 58 sq cm (d) 221 sq cm
  37. 37.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 38 cm (d) 42 cm
  38. 38.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 41 cm (b) 48 cm (c) 119 cm (d) 24 cm
  39. 39.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 34 cm (c) 66 cm (d) 17 cm
  40. 40.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 40 cm (c) 26 cm (d) 21 cm

Answer key

  1. 50 cm
  2. 4 cm
  3. 45 sq cm
  4. 7 cm
  5. 22 cm
  6. 28 cm
  7. 40 sq cm
  8. 64 sq cm
  9. 56 sq cm
  10. 49 sq cm
  11. 30 sq cm
  12. 121 sq cm
  13. 38 cm
  14. 12 cm
  15. 28 sq cm
  16. 5 cm
  17. 72 sq cm
  18. 34 cm
  19. 60 sq cm
  20. 57 sq cm
  21. 54 cm
  22. 34 cm
  23. 81 sq cm
  24. 38 cm
  25. 52 sq cm
  26. 25 sq cm
  27. 22 cm
  28. 9 cm
  29. 20 cm
  30. 70 sq cm
  31. 180 sq cm
  32. 176 sq cm
  33. 8 cm
  34. 12 cm
  35. 180 sq cm
  36. 204 sq cm
  37. 42 cm
  38. 48 cm
  39. 34 cm
  40. 26 cm

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