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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 752 · 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 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 28 sq cm (d) 14 sq cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
  3. 3.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 29 cm (d) 39 cm
  4. 4.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 24 cm (d) 20 cm
  5. 5.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 30 sq cm
  6. 6.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 100 sq cm (c) 48 sq cm (d) 80 sq cm
  7. 7.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 4 cm (c) 5 cm (d) 8 cm
  8. 8.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 88 sq cm (c) 36 sq cm (d) 77 sq cm
  9. 9.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 16 cm (c) 8 cm (d) 9 cm
  10. 10.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 180 cm (c) 22 cm (d) 11 cm
  11. 11.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 23 cm (c) 46 cm (d) 102 cm
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
  13. 13.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 27 cm
  14. 14.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  15. 15.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 120 cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  17. 17.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 120 sq cm (d) 135 sq cm
  18. 18.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 28 cm (d) 11 cm
  19. 19.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 10 cm (c) 88 cm (d) 9 cm
  20. 20.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 154 sq cm (d) 168 sq cm
  21. 21.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 150 cm (c) 50 cm (d) 40 cm
  22. 22.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
  23. 23.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 156 sq cm (d) 143 sq cm
  24. 24.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 40 cm
  25. 25.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 17 cm (b) 27 cm (c) 70 cm (d) 34 cm
  26. 26.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 65 cm
  27. 27.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 18 cm (d) 11 cm
  28. 28.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 63 sq cm (c) 30 sq cm (d) 54 sq cm
  29. 29.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
  30. 30.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 14 cm (d) 18 cm
  31. 31.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 3 cm (c) 16 cm (d) 6 cm
  32. 32.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 11 sq cm (d) 28 sq cm
  33. 33.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 46 cm (c) 58 cm (d) 204 cm
  34. 34.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
  35. 35.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 44 cm (c) 192 cm (d) 56 cm
  36. 36.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 136 sq cm (b) 24 sq cm (c) 48 sq cm (d) 119 sq cm
  37. 37.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 98 cm (c) 9 cm (d) 16 cm
  38. 38.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 126 sq cm (c) 22 sq cm (d) 44 sq cm
  39. 39.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 90 cm
  40. 40.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm

Answer key

  1. 48 sq cm
  2. 49 sq cm
  3. 32 cm
  4. 20 cm
  5. 24 sq cm
  6. 80 sq cm
  7. 4 cm
  8. 77 sq cm
  9. 8 cm
  10. 11 cm
  11. 46 cm
  12. 225 sq cm
  13. 4 cm
  14. 81 sq cm
  15. 9 cm
  16. 36 sq cm
  17. 120 sq cm
  18. 22 cm
  19. 9 cm
  20. 154 sq cm
  21. 50 cm
  22. 32 sq cm
  23. 143 sq cm
  24. 3 cm
  25. 34 cm
  26. 6 cm
  27. 22 cm
  28. 54 sq cm
  29. 16 sq cm
  30. 18 cm
  31. 3 cm
  32. 28 sq cm
  33. 58 cm
  34. 100 sq cm
  35. 56 cm
  36. 119 sq cm
  37. 8 cm
  38. 112 sq cm
  39. 7 cm
  40. 121 sq cm

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