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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 546 · 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 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 72 sq cm (d) 34 sq cm
  2. 2.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 9 cm (c) 18 cm (d) 10 cm
  3. 3.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 4 cm (c) 6 cm (d) 3 cm
  4. 4.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 24 cm (d) 19 cm
  5. 5.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 17 cm (d) 34 cm
  6. 6.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
  7. 7.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 105 cm
  8. 8.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
  9. 9.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  11. 11.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 54 sq cm (c) 15 sq cm (d) 63 sq cm
  12. 12.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 98 sq cm (c) 40 sq cm (d) 84 sq cm
  13. 13.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 12 cm (c) 13 cm (d) 24 cm
  14. 14.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 88 cm (c) 10 cm (d) 18 cm
  15. 15.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 72 cm
  16. 16.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  17. 17.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 18 sq cm (c) 70 sq cm (d) 36 sq cm
  18. 18.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm
  19. 19.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 16 sq cm (d) 12 sq cm
  20. 20.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 57 sq cm (c) 21 sq cm (d) 38 sq cm
  21. 21.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 38 sq cm (c) 64 sq cm (d) 19 sq cm
  22. 22.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 4 cm (c) 51 cm (d) 8 cm
  23. 23.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
  24. 24.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 12 cm (c) 24 cm (d) 13 cm
  25. 25.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 120 sq cm (d) 100 sq cm
  26. 26.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 96 sq cm (d) 84 sq cm
  27. 27.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 91 sq cm (d) 104 sq cm
  28. 28.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
  29. 29.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 70 cm
  30. 30.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 15 cm
  31. 31.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 32 cm (d) 48 cm
  32. 32.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 8 cm (c) 30 cm (d) 4 cm
  33. 33.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 140 cm (c) 12 cm (d) 22 cm
  34. 34.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 35 sq cm (d) 42 sq cm
  35. 35.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 4 cm (c) 14 cm (d) 3 cm
  36. 36.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 10 cm (c) 5 cm (d) 6 cm
  37. 37.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 30 sq cm (c) 15 sq cm (d) 60 sq cm
  38. 38.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 27 sq cm (d) 12 sq cm
  39. 39.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 32 cm (d) 60 cm
  40. 40.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm

Answer key

  1. 72 sq cm
  2. 9 cm
  3. 3 cm
  4. 22 cm
  5. 34 cm
  6. 10 cm
  7. 8 cm
  8. 25 sq cm
  9. 36 sq cm
  10. 81 sq cm
  11. 54 sq cm
  12. 84 sq cm
  13. 12 cm
  14. 9 cm
  15. 5 cm
  16. 144 sq cm
  17. 56 sq cm
  18. 16 sq cm
  19. 12 sq cm
  20. 38 sq cm
  21. 48 sq cm
  22. 4 cm
  23. 18 cm
  24. 12 cm
  25. 100 sq cm
  26. 84 sq cm
  27. 91 sq cm
  28. 100 sq cm
  29. 6 cm
  30. 4 cm
  31. 32 cm
  32. 4 cm
  33. 11 cm
  34. 35 sq cm
  35. 3 cm
  36. 5 cm
  37. 50 sq cm
  38. 27 sq cm
  39. 32 cm
  40. 196 sq cm

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