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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 536 · 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 has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 2 cm (c) 4 cm (d) 3 cm
  2. 2.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  3. 3.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 80 cm (c) 28 cm (d) 36 cm
  4. 4.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 22 sq cm (c) 117 sq cm (d) 44 sq cm
  5. 5.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 72 sq cm (d) 90 sq cm
  6. 6.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 143 cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
  8. 8.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 44 cm
  9. 9.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 24 sq cm (c) 42 sq cm (d) 12 sq cm
  10. 10.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 112 cm (d) 39 cm
  11. 11.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 50 sq cm (c) 40 sq cm (d) 28 sq cm
  12. 12.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 14 cm (b) 8 cm (c) 66 cm (d) 7 cm
  13. 13.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 6 cm (c) 4 cm (d) 3 cm
  14. 14.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 8 cm (c) 14 cm (d) 7 cm
  15. 15.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 16 cm (c) 26 cm (d) 32 cm
  16. 16.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 46 cm (d) 204 cm
  17. 17.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  18. 18.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 133 sq cm (d) 114 sq cm
  19. 19.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  20. 20.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 36 sq cm (c) 30 sq cm (d) 48 sq cm
  21. 21.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 54 sq cm (d) 63 sq cm
  22. 22.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  23. 23.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 31 sq cm (c) 228 sq cm (d) 247 sq cm
  24. 24.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 39 cm
  25. 25.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  26. 26.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 36 sq cm (d) 22 sq cm
  27. 27.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 19 sq cm (c) 38 sq cm (d) 100 sq cm
  28. 28.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 90 cm (c) 12 cm (d) 7 cm
  29. 29.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 48 cm
  30. 30.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 12 cm (c) 140 cm (d) 11 cm
  31. 31.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 16 cm (d) 32 cm
  32. 32.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  33. 33.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 88 sq cm (c) 19 sq cm (d) 99 sq cm
  34. 34.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 72 cm
  35. 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 19 sq cm (d) 18 sq cm
  36. 36.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 190 sq cm (c) 171 sq cm (d) 28 sq cm
  37. 37.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 54 cm (c) 15 cm (d) 24 cm
  38. 38.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 64 cm (c) 20 cm (d) 40 cm
  39. 39.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 130 sq cm (d) 143 sq cm
  40. 40.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 4 cm (c) 3 cm (d) 6 cm

Answer key

  1. 2 cm
  2. 121 sq cm
  3. 36 cm
  4. 117 sq cm
  5. 72 sq cm
  6. 12 cm
  7. 196 sq cm
  8. 5 cm
  9. 35 sq cm
  10. 46 cm
  11. 40 sq cm
  12. 7 cm
  13. 2 cm
  14. 7 cm
  15. 32 cm
  16. 58 cm
  17. 36 sq cm
  18. 114 sq cm
  19. 49 sq cm
  20. 36 sq cm
  21. 54 sq cm
  22. 64 sq cm
  23. 228 sq cm
  24. 4 cm
  25. 81 sq cm
  26. 30 sq cm
  27. 90 sq cm
  28. 6 cm
  29. 7 cm
  30. 11 cm
  31. 32 cm
  32. 100 sq cm
  33. 88 sq cm
  34. 7 cm
  35. 18 sq cm
  36. 171 sq cm
  37. 30 cm
  38. 40 cm
  39. 130 sq cm
  40. 3 cm

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