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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 987 · 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 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 160 cm
  2. 2.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 4 cm (c) 6 cm (d) 3 cm
  3. 3.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 34 sq cm (c) 56 sq cm (d) 17 sq cm
  4. 4.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 42 cm (c) 5 cm (d) 4 cm
  5. 5.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 46 sq cm (c) 23 sq cm (d) 76 sq cm
  6. 6.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 51 sq cm (b) 38 sq cm (c) 34 sq cm (d) 19 sq cm
  7. 7.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 16 cm (c) 9 cm (d) 8 cm
  8. 8.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 14 sq cm (c) 40 sq cm (d) 28 sq cm
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
  10. 10.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  11. 11.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 10 cm (c) 20 cm (d) 11 cm
  12. 12.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 34 cm (c) 38 cm (d) 19 cm
  13. 13.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 198 cm (c) 12 cm (d) 13 cm
  14. 14.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
  15. 15.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 60 cm (b) 43 cm (c) 46 cm (d) 23 cm
  16. 16.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 120 cm
  17. 17.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
  18. 18.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 52 cm
  19. 19.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 10 cm (c) 20 cm (d) 11 cm
  20. 20.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 18 sq cm (c) 36 sq cm (d) 60 sq cm
  21. 21.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 133 cm
  22. 22.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 65 sq cm (c) 52 sq cm (d) 34 sq cm
  23. 23.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 28 sq cm (c) 14 sq cm (d) 24 sq cm
  24. 24.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
  25. 25.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 10 cm
  26. 26.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 6 cm (c) 3 cm (d) 4 cm
  27. 27.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  28. 28.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 16 cm (c) 27 cm (d) 32 cm
  29. 29.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
  30. 30.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
  31. 31.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 18 sq cm (c) 36 sq cm (d) 72 sq cm
  32. 32.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 72 sq cm (c) 16 sq cm (d) 63 sq cm
  33. 33.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 28 sq cm (c) 16 sq cm (d) 32 sq cm
  34. 34.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 14 cm (c) 7 cm (d) 8 cm
  35. 35.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
  36. 36.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 12 sq cm (c) 16 sq cm (d) 8 sq cm
  37. 37.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 39 cm (d) 135 cm
  38. 38.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 90 sq cm (b) 22 sq cm (c) 72 sq cm (d) 44 sq cm
  39. 39.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 48 cm (c) 28 cm (d) 14 cm
  40. 40.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm

Answer key

  1. 11 cm
  2. 3 cm
  3. 42 sq cm
  4. 4 cm
  5. 76 sq cm
  6. 34 sq cm
  7. 8 cm
  8. 40 sq cm
  9. 25 sq cm
  10. 27 sq cm
  11. 10 cm
  12. 38 cm
  13. 12 cm
  14. 81 sq cm
  15. 46 cm
  16. 7 cm
  17. 108 sq cm
  18. 5 cm
  19. 10 cm
  20. 45 sq cm
  21. 8 cm
  22. 52 sq cm
  23. 24 sq cm
  24. 169 sq cm
  25. 3 cm
  26. 3 cm
  27. 121 sq cm
  28. 32 cm
  29. 64 sq cm
  30. 196 sq cm
  31. 72 sq cm
  32. 63 sq cm
  33. 28 sq cm
  34. 7 cm
  35. 49 sq cm
  36. 12 sq cm
  37. 48 cm
  38. 72 sq cm
  39. 28 cm
  40. 100 sq cm

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