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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 792 · 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 18 cm long and 11 cm wide. What is its perimeter? (a) 29 cm (b) 47 cm (c) 58 cm (d) 198 cm
  2. 2.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 80 sq cm (c) 36 sq cm (d) 18 sq cm
  3. 3.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 20 cm (d) 21 cm
  4. 4.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
  5. 5.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 150 cm (c) 11 cm (d) 22 cm
  6. 6.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 18 sq cm (c) 65 sq cm (d) 36 sq cm
  7. 7.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 108 cm
  8. 8.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
  9. 9.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 28 sq cm (c) 42 sq cm (d) 16 sq cm
  10. 10.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 33 cm (c) 42 cm (d) 108 cm
  11. 11.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 117 cm
  12. 12.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 96 sq cm (d) 108 sq cm
  13. 13.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
  14. 14.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 78 cm (c) 32 cm (d) 38 cm
  15. 15.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 10 cm (c) 128 cm (d) 9 cm
  16. 16.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
  17. 17.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 220 cm
  18. 18.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 221 sq cm (c) 204 sq cm (d) 58 sq cm
  19. 19.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 85 sq cm (c) 21 sq cm (d) 68 sq cm
  20. 20.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 11 cm (d) 19 cm
  21. 21.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 18 cm (c) 136 cm (d) 10 cm
  22. 22.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 119 cm (b) 48 cm (c) 41 cm (d) 24 cm
  23. 23.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  24. 24.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 85 cm (b) 39 cm (c) 22 cm (d) 44 cm
  25. 25.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 18 cm (d) 28 cm
  26. 26.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
  27. 27.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 75 sq cm (c) 90 sq cm (d) 40 sq cm
  28. 28.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 16 cm (c) 55 cm (d) 32 cm
  29. 29.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 12 cm (c) 22 cm (d) 11 cm
  30. 30.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 3 cm (c) 30 cm (d) 4 cm
  31. 31.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 16 cm (c) 14 cm (d) 8 cm
  32. 32.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  33. 33.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 2 cm (c) 4 cm (d) 3 cm
  34. 34.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 24 sq cm (b) 140 sq cm (c) 154 sq cm (d) 48 sq cm
  35. 35.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 10 cm (d) 9 cm
  36. 36.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  37. 37.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 90 sq cm (c) 38 sq cm (d) 100 sq cm
  38. 38.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 114 sq cm (b) 95 sq cm (c) 24 sq cm (d) 48 sq cm
  39. 39.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 44 sq cm (c) 22 sq cm (d) 120 sq cm
  40. 40.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 35 cm (d) 12 cm

Answer key

  1. 58 cm
  2. 80 sq cm
  3. 20 cm
  4. 121 sq cm
  5. 11 cm
  6. 65 sq cm
  7. 10 cm
  8. 48 sq cm
  9. 28 sq cm
  10. 42 cm
  11. 10 cm
  12. 96 sq cm
  13. 49 sq cm
  14. 38 cm
  15. 9 cm
  16. 10 cm
  17. 12 cm
  18. 204 sq cm
  19. 68 sq cm
  20. 22 cm
  21. 9 cm
  22. 48 cm
  23. 196 sq cm
  24. 44 cm
  25. 22 cm
  26. 12 sq cm
  27. 75 sq cm
  28. 32 cm
  29. 11 cm
  30. 3 cm
  31. 16 cm
  32. 81 sq cm
  33. 2 cm
  34. 140 sq cm
  35. 9 cm
  36. 25 sq cm
  37. 90 sq cm
  38. 95 sq cm
  39. 120 sq cm
  40. 24 cm

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