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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 746 · 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 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 38 cm (d) 156 cm
  2. 2.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 136 cm (d) 42 cm
  3. 3.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 98 cm
  4. 4.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 105 cm
  5. 5.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  6. 6.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 63 cm
  7. 7.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 40 sq cm (c) 13 sq cm (d) 26 sq cm
  8. 8.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 2 cm (b) 4 cm (c) 19 cm (d) 3 cm
  9. 9.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 154 cm
  10. 10.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 18 cm (c) 80 cm (d) 9 cm
  11. 11.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 36 sq cm (c) 70 sq cm (d) 18 sq cm
  12. 12.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 44 cm (c) 22 cm (d) 42 cm
  13. 13.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 33 cm (b) 21 cm (c) 42 cm (d) 108 cm
  14. 14.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  15. 15.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 12 sq cm (d) 42 sq cm
  16. 16.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 64 sq cm (d) 56 sq cm
  17. 17.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 75 sq cm (b) 90 sq cm (c) 40 sq cm (d) 20 sq cm
  18. 18.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 30 sq cm (d) 36 sq cm
  19. 19.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 51 sq cm (c) 40 sq cm (d) 20 sq cm
  20. 20.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 150 sq cm (c) 24 sq cm (d) 48 sq cm
  21. 21.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 21 sq cm (c) 9 sq cm (d) 14 sq cm
  22. 22.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 80 cm (c) 6 cm (d) 5 cm
  23. 23.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 24 cm (d) 12 cm
  24. 24.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 28 cm
  25. 25.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  26. 26.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 20 cm (d) 16 cm
  27. 27.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 56 sq cm (c) 28 sq cm (d) 180 sq cm
  28. 28.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 11 cm (d) 22 cm
  29. 29.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  30. 30.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 120 sq cm (c) 52 sq cm (d) 140 sq cm
  31. 31.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 15 cm (d) 24 cm
  32. 32.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 18 cm (c) 36 cm (d) 32 cm
  33. 33.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  34. 34.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  35. 35.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  36. 36.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 198 sq cm (c) 58 sq cm (d) 29 sq cm
  37. 37.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 153 cm (c) 10 cm (d) 20 cm
  38. 38.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 41 cm (b) 90 cm (c) 46 cm (d) 23 cm
  39. 39.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 22 sq cm (d) 28 sq cm
  40. 40.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 21 sq cm (c) 120 sq cm (d) 42 sq cm

Answer key

  1. 50 cm
  2. 50 cm
  3. 8 cm
  4. 8 cm
  5. 36 sq cm
  6. 8 cm
  7. 30 sq cm
  8. 2 cm
  9. 12 cm
  10. 9 cm
  11. 56 sq cm
  12. 44 cm
  13. 42 cm
  14. 121 sq cm
  15. 35 sq cm
  16. 56 sq cm
  17. 75 sq cm
  18. 30 sq cm
  19. 51 sq cm
  20. 135 sq cm
  21. 14 sq cm
  22. 5 cm
  23. 24 cm
  24. 22 cm
  25. 49 sq cm
  26. 20 cm
  27. 160 sq cm
  28. 22 cm
  29. 169 sq cm
  30. 120 sq cm
  31. 30 cm
  32. 36 cm
  33. 64 sq cm
  34. 25 sq cm
  35. 196 sq cm
  36. 198 sq cm
  37. 10 cm
  38. 46 cm
  39. 28 sq cm
  40. 108 sq cm

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