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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 652 · 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 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 20 cm (c) 4 cm (d) 2 cm
  2. 2.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 22 cm (c) 11 cm (d) 12 cm
  3. 3.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 40 cm (d) 6 cm
  4. 4.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  5. 5.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 44 cm (c) 22 cm (d) 41 cm
  6. 6.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 165 sq cm (d) 150 sq cm
  7. 7.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 42 sq cm (c) 17 sq cm (d) 56 sq cm
  8. 8.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 114 sq cm (c) 50 sq cm (d) 133 sq cm
  9. 9.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
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  11. 11.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 204 cm (d) 46 cm
  12. 12.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
  13. 13.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 6 cm (c) 34 cm (d) 3 cm
  14. 14.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 130 cm
  15. 15.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 15 cm (c) 54 cm (d) 30 cm
  16. 16.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 22 sq cm (c) 120 sq cm (d) 44 sq cm
  17. 17.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  18. 18.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 5 cm (c) 21 cm (d) 4 cm
  19. 19.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 35 cm (c) 24 cm (d) 19 cm
  20. 20.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
  21. 21.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
  22. 22.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 49 sq cm (d) 24 sq cm
  23. 23.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 36 sq cm (d) 18 sq cm
  24. 24.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 48 sq cm (c) 36 sq cm (d) 15 sq cm
  25. 25.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 11 sq cm (d) 35 sq cm
  26. 26.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 10 cm (c) 80 cm (d) 18 cm
  27. 27.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 32 cm (d) 30 cm
  28. 28.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
  29. 29.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  30. 30.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 2 cm (b) 4 cm (c) 17 cm (d) 3 cm
  31. 31.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 72 cm (c) 30 cm (d) 18 cm
  32. 32.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 22 sq cm (c) 44 sq cm (d) 40 sq cm
  33. 33.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 30 sq cm (c) 44 sq cm (d) 15 sq cm
  34. 34.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 56 cm (b) 44 cm (c) 28 cm (d) 192 cm
  35. 35.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
  36. 36.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 22 cm (c) 11 cm (d) 30 cm
  37. 37.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 45 sq cm (d) 54 sq cm
  38. 38.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 72 cm (c) 26 cm (d) 17 cm
  39. 39.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 16 cm (c) 63 cm (d) 8 cm
  40. 40.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm

Answer key

  1. 2 cm
  2. 11 cm
  3. 3 cm
  4. 144 sq cm
  5. 44 cm
  6. 150 sq cm
  7. 42 sq cm
  8. 114 sq cm
  9. 18 cm
  10. 225 sq cm
  11. 58 cm
  12. 64 sq cm
  13. 3 cm
  14. 11 cm
  15. 30 cm
  16. 120 sq cm
  17. 169 sq cm
  18. 4 cm
  19. 24 cm
  20. 25 sq cm
  21. 46 cm
  22. 36 sq cm
  23. 32 sq cm
  24. 36 sq cm
  25. 28 sq cm
  26. 9 cm
  27. 32 cm
  28. 121 sq cm
  29. 81 sq cm
  30. 2 cm
  31. 36 cm
  32. 40 sq cm
  33. 44 sq cm
  34. 56 cm
  35. 24 sq cm
  36. 22 cm
  37. 45 sq cm
  38. 34 cm
  39. 8 cm
  40. 196 sq cm

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