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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 31 · 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 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 108 cm
  2. 2.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 8 cm (c) 14 cm (d) 7 cm
  3. 3.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 30 cm (d) 72 cm
  4. 4.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 11 cm (d) 28 cm
  5. 5.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 24 sq cm (d) 19 sq cm
  6. 6.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 50 cm (b) 126 cm (c) 43 cm (d) 25 cm
  7. 7.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  8. 8.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 143 cm (c) 13 cm (d) 24 cm
  9. 9.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 14 cm (c) 8 cm (d) 7 cm
  10. 10.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  12. 12.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 120 cm (c) 34 cm (d) 44 cm
  13. 13.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 23 cm (c) 45 cm (d) 14 cm
  14. 14.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 96 sq cm (c) 80 sq cm (d) 21 sq cm
  15. 15.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) 11 cm (d) 22 cm
  16. 16.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 45 sq cm (c) 18 sq cm (d) 36 sq cm
  17. 17.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 11 sq cm (d) 36 sq cm
  18. 18.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 96 cm
  19. 19.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 40 cm (c) 22 cm (d) 44 cm
  20. 20.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 12 cm (c) 8 cm (d) 14 cm
  21. 21.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
  22. 22.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
  23. 23.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 13 cm (d) 24 cm
  24. 24.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 42 sq cm (c) 72 sq cm (d) 21 sq cm
  25. 25.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 21 cm (c) 40 cm (d) 13 cm
  26. 26.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 204 sq cm (d) 187 sq cm
  27. 27.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 50 cm (c) 100 cm (d) 25 cm
  28. 28.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 22 cm (c) 11 cm (d) 12 cm
  29. 29.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 40 sq cm (d) 32 sq cm
  30. 30.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 2 cm (c) 4 cm (d) 3 cm
  31. 31.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  32. 32.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 16 sq cm (d) 20 sq cm
  33. 33.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  34. 34.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 13 sq cm (c) 26 sq cm (d) 33 sq cm
  35. 35.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 24 sq cm (b) 140 sq cm (c) 48 sq cm (d) 154 sq cm
  36. 36.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 27 cm (c) 36 cm (d) 15 cm
  37. 37.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 31 cm (d) 65 cm
  38. 38.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 126 cm (c) 11 cm (d) 20 cm
  39. 39.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 144 sq cm (d) 132 sq cm
  40. 40.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 42 sq cm (c) 26 sq cm (d) 13 sq cm

Answer key

  1. 10 cm
  2. 7 cm
  3. 36 cm
  4. 22 cm
  5. 18 sq cm
  6. 50 cm
  7. 225 sq cm
  8. 12 cm
  9. 7 cm
  10. 196 sq cm
  11. 49 sq cm
  12. 44 cm
  13. 28 cm
  14. 80 sq cm
  15. 11 cm
  16. 45 sq cm
  17. 30 sq cm
  18. 7 cm
  19. 44 cm
  20. 16 cm
  21. 24 sq cm
  22. 25 sq cm
  23. 26 cm
  24. 54 sq cm
  25. 26 cm
  26. 187 sq cm
  27. 50 cm
  28. 11 cm
  29. 32 sq cm
  30. 2 cm
  31. 100 sq cm
  32. 16 sq cm
  33. 64 sq cm
  34. 22 sq cm
  35. 140 sq cm
  36. 30 cm
  37. 36 cm
  38. 10 cm
  39. 132 sq cm
  40. 42 sq cm

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