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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 472 · 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 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 11 cm (c) 12 cm (d) 22 cm
  2. 2.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 14 cm (c) 3 cm (d) 4 cm
  3. 3.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 28 sq cm (d) 42 sq cm
  4. 4.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 42 cm
  5. 5.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 85 sq cm (c) 44 sq cm (d) 22 sq cm
  6. 6.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 11 cm (c) 20 cm (d) 10 cm
  7. 7.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 20 cm (c) 99 cm (d) 40 cm
  8. 8.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 55 sq cm (c) 15 sq cm (d) 44 sq cm
  9. 9.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 39 cm (c) 48 cm (d) 135 cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
  11. 11.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 12 cm (d) 24 cm
  12. 12.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  13. 13.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 96 cm (c) 20 cm (d) 32 cm
  14. 14.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 72 cm (c) 18 cm (d) 36 cm
  15. 15.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 18 cm (d) 9 cm
  16. 16.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 25 cm (c) 41 cm (d) 50 cm
  17. 17.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 216 sq cm (d) 234 sq cm
  18. 18.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 95 sq cm (c) 76 sq cm (d) 46 sq cm
  19. 19.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 27 sq cm
  20. 20.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 14 cm (c) 120 cm (d) 8 cm
  21. 21.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 48 sq cm (d) 14 sq cm
  22. 22.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
  23. 23.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 90 sq cm (c) 72 sq cm (d) 44 sq cm
  24. 24.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 34 cm (c) 42 cm (d) 17 cm
  25. 25.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 70 cm (c) 8 cm (d) 9 cm
  26. 26.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 171 cm
  27. 27.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 99 sq cm (c) 110 sq cm (d) 20 sq cm
  28. 28.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 19 cm (c) 30 cm (d) 38 cm
  29. 29.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 35 cm (c) 22 cm (d) 44 cm
  30. 30.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 75 sq cm (d) 90 sq cm
  31. 31.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 171 sq cm (c) 28 sq cm (d) 56 sq cm
  32. 32.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 180 cm (c) 20 cm (d) 10 cm
  33. 33.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  34. 34.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 156 sq cm (d) 143 sq cm
  35. 35.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 10 cm (d) 20 cm
  36. 36.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 66 cm (c) 28 cm (d) 34 cm
  37. 37.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 72 sq cm (d) 34 sq cm
  38. 38.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 162 sq cm (d) 180 sq cm
  39. 39.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 37 cm (c) 44 cm (d) 22 cm
  40. 40.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 14 cm (d) 48 cm

Answer key

  1. 11 cm
  2. 3 cm
  3. 28 sq cm
  4. 4 cm
  5. 85 sq cm
  6. 10 cm
  7. 40 cm
  8. 44 sq cm
  9. 48 cm
  10. 81 sq cm
  11. 12 cm
  12. 36 sq cm
  13. 40 cm
  14. 36 cm
  15. 18 cm
  16. 50 cm
  17. 216 sq cm
  18. 76 sq cm
  19. 27 sq cm
  20. 7 cm
  21. 48 sq cm
  22. 8 cm
  23. 72 sq cm
  24. 34 cm
  25. 8 cm
  26. 10 cm
  27. 99 sq cm
  28. 38 cm
  29. 44 cm
  30. 75 sq cm
  31. 171 sq cm
  32. 10 cm
  33. 64 sq cm
  34. 143 sq cm
  35. 20 cm
  36. 34 cm
  37. 72 sq cm
  38. 162 sq cm
  39. 44 cm
  40. 28 cm

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