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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 595 · 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 16 cm long and 12 cm wide. What is its perimeter? (a) 192 cm (b) 28 cm (c) 44 cm (d) 56 cm
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  3. 3.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 99 cm (c) 20 cm (d) 40 cm
  4. 4.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 143 cm (c) 13 cm (d) 12 cm
  5. 5.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  6. 6.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 187 sq cm (c) 56 sq cm (d) 204 sq cm
  7. 7.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 169 sq cm
  8. 8.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 44 sq cm (b) 130 sq cm (c) 22 sq cm (d) 117 sq cm
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  10. 10.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 10 cm (c) 5 cm (d) 6 cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  12. 12.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 38 cm (c) 21 cm (d) 68 cm
  13. 13.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 16 cm (c) 32 cm (d) 63 cm
  14. 14.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 12 cm (c) 13 cm (d) 24 cm
  15. 15.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 34 sq cm (c) 80 sq cm (d) 17 sq cm
  16. 16.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 126 sq cm (d) 22 sq cm
  17. 17.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 46 cm (c) 23 cm (d) 36 cm
  18. 18.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 56 cm (d) 160 cm
  19. 19.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 48 cm (c) 19 cm (d) 38 cm
  20. 20.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 39 sq cm (c) 30 sq cm (d) 26 sq cm
  21. 21.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 20 cm (c) 11 cm (d) 10 cm
  22. 22.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 144 sq cm (c) 46 sq cm (d) 132 sq cm
  23. 23.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 12 sq cm (c) 42 sq cm (d) 24 sq cm
  24. 24.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 72 sq cm (d) 63 sq cm
  25. 25.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
  26. 26.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 16 sq cm
  27. 27.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 5 cm
  28. 28.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  29. 29.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 42 cm (c) 104 cm (d) 21 cm
  30. 30.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 98 sq cm (d) 84 sq cm
  31. 31.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 4 cm (c) 34 cm (d) 3 cm
  32. 32.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 40 sq cm (c) 108 sq cm (d) 20 sq cm
  33. 33.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 11 cm (d) 22 cm
  34. 34.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 80 sq cm (d) 96 sq cm
  35. 35.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 76 cm
  36. 36.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 44 sq cm (c) 102 sq cm (d) 22 sq cm
  37. 37.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 32 sq cm (c) 52 sq cm (d) 16 sq cm
  38. 38.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 14 sq cm (d) 28 sq cm
  39. 39.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 16 sq cm (c) 55 sq cm (d) 32 sq cm
  40. 40.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 10 cm (d) 11 cm

Answer key

  1. 56 cm
  2. 196 sq cm
  3. 40 cm
  4. 12 cm
  5. 121 sq cm
  6. 187 sq cm
  7. 144 sq cm
  8. 117 sq cm
  9. 25 sq cm
  10. 5 cm
  11. 49 sq cm
  12. 42 cm
  13. 32 cm
  14. 12 cm
  15. 70 sq cm
  16. 112 sq cm
  17. 46 cm
  18. 56 cm
  19. 38 cm
  20. 26 sq cm
  21. 10 cm
  22. 132 sq cm
  23. 35 sq cm
  24. 63 sq cm
  25. 27 sq cm
  26. 16 sq cm
  27. 2 cm
  28. 169 sq cm
  29. 42 cm
  30. 84 sq cm
  31. 3 cm
  32. 96 sq cm
  33. 22 cm
  34. 80 sq cm
  35. 5 cm
  36. 85 sq cm
  37. 39 sq cm
  38. 48 sq cm
  39. 55 sq cm
  40. 10 cm

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