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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 312 · 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 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 47 cm (c) 54 cm (d) 140 cm
  2. 2.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 70 sq cm (c) 17 sq cm (d) 80 sq cm
  3. 3.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 135 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) 105 cm (c) 8 cm (d) 9 cm
  5. 5.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 13 cm (c) 26 cm (d) 30 cm
  6. 6.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 66 sq cm (c) 77 sq cm (d) 17 sq cm
  7. 7.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 7 cm (c) 14 cm (d) 8 cm
  8. 8.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
  9. 9.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 180 cm
  10. 10.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  11. 11.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  12. 12.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 8 sq cm (d) 12 sq cm
  13. 13.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 63 sq cm (d) 32 sq cm
  14. 14.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 84 cm (b) 9 cm (c) 16 cm (d) 8 cm
  15. 15.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 20 cm (d) 10 cm
  16. 16.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
  17. 17.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  18. 18.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 9 sq cm (d) 14 sq cm
  19. 19.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  20. 20.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 20 sq cm (c) 30 sq cm (d) 24 sq cm
  21. 21.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 25 sq cm (c) 50 sq cm (d) 136 sq cm
  22. 22.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 39 sq cm (c) 16 sq cm (d) 52 sq cm
  23. 23.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 187 sq cm (b) 28 sq cm (c) 56 sq cm (d) 204 sq cm
  24. 24.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 100 cm
  25. 25.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 11 cm (c) 150 cm (d) 12 cm
  26. 26.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 22 sq cm (d) 11 sq cm
  27. 27.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 34 cm (c) 18 cm (d) 36 cm
  28. 28.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  29. 29.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 44 cm (d) 22 cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 9 cm (d) 15 cm
  31. 31.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 40 sq cm (c) 50 sq cm (d) 14 sq cm
  32. 32.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 12 cm (c) 24 cm (d) 13 cm
  33. 33.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 20 cm (c) 162 cm (d) 10 cm
  34. 34.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 90 sq cm (d) 100 sq cm
  35. 35.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 12 cm (c) 40 cm (d) 6 cm
  36. 36.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  37. 37.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
  38. 38.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 160 sq cm (c) 144 sq cm (d) 25 sq cm
  39. 39.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 156 sq cm (d) 169 sq cm
  40. 40.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 96 sq cm (c) 108 sq cm (d) 20 sq cm

Answer key

  1. 54 cm
  2. 70 sq cm
  3. 10 cm
  4. 8 cm
  5. 26 cm
  6. 66 sq cm
  7. 7 cm
  8. 196 sq cm
  9. 11 cm
  10. 144 sq cm
  11. 225 sq cm
  12. 12 sq cm
  13. 63 sq cm
  14. 8 cm
  15. 20 cm
  16. 35 sq cm
  17. 36 sq cm
  18. 14 sq cm
  19. 81 sq cm
  20. 20 sq cm
  21. 136 sq cm
  22. 39 sq cm
  23. 187 sq cm
  24. 6 cm
  25. 11 cm
  26. 24 sq cm
  27. 36 cm
  28. 64 sq cm
  29. 44 cm
  30. 18 cm
  31. 40 sq cm
  32. 12 cm
  33. 10 cm
  34. 90 sq cm
  35. 6 cm
  36. 27 sq cm
  37. 25 sq cm
  38. 144 sq cm
  39. 156 sq cm
  40. 96 sq cm

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