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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 627 · 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 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 85 sq cm (c) 68 sq cm (d) 21 sq cm
  2. 2.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
  3. 3.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 6 cm (c) 40 cm (d) 10 cm
  4. 4.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 96 sq cm (c) 40 sq cm (d) 108 sq cm
  5. 5.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 16 cm (c) 14 cm (d) 18 cm
  6. 6.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 171 cm (d) 47 cm
  7. 7.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 42 cm (c) 31 cm (d) 34 cm
  8. 8.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 13 cm (c) 187 cm (d) 12 cm
  9. 9.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 221 sq cm (d) 204 sq cm
  10. 10.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 18 cm
  11. 11.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 119 sq cm (c) 136 sq cm (d) 24 sq cm
  12. 12.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
  13. 13.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 54 cm (c) 42 cm (d) 39 cm
  14. 14.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
  15. 15.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 50 sq cm (b) 156 sq cm (c) 169 sq cm (d) 25 sq cm
  16. 16.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 77 sq cm (d) 88 sq cm
  17. 17.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 4 cm (c) 3 cm (d) 6 cm
  18. 18.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 34 sq cm (d) 80 sq cm
  19. 19.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 60 sq cm (c) 18 sq cm (d) 36 sq cm
  20. 20.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 19 cm (c) 38 cm (d) 29 cm
  21. 21.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 18 sq cm (d) 12 sq cm
  22. 22.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 24 cm (d) 15 cm
  23. 23.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 44 cm (c) 41 cm (d) 22 cm
  24. 24.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 18 sq cm (c) 11 sq cm (d) 22 sq cm
  25. 25.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 9 cm (c) 2 cm (d) 3 cm
  26. 26.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 153 sq cm (d) 170 sq cm
  27. 27.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  28. 28.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 40 cm (c) 84 cm (d) 20 cm
  29. 29.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  30. 30.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 26 cm (d) 13 cm
  31. 31.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  32. 32.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
  33. 33.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 198 cm
  34. 34.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 140 sq cm (b) 54 sq cm (c) 160 sq cm (d) 27 sq cm
  35. 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 24 sq cm (d) 9 sq cm
  36. 36.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 5 cm (d) 10 cm
  37. 37.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
  38. 38.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 17 cm (c) 2 cm (d) 4 cm
  39. 39.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 18 cm (c) 80 cm (d) 10 cm
  40. 40.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 60 sq cm (c) 19 sq cm (d) 75 sq cm

Answer key

  1. 68 sq cm
  2. 225 sq cm
  3. 5 cm
  4. 96 sq cm
  5. 18 cm
  6. 56 cm
  7. 34 cm
  8. 12 cm
  9. 204 sq cm
  10. 4 cm
  11. 119 sq cm
  12. 81 sq cm
  13. 42 cm
  14. 25 sq cm
  15. 156 sq cm
  16. 77 sq cm
  17. 3 cm
  18. 70 sq cm
  19. 45 sq cm
  20. 38 cm
  21. 12 sq cm
  22. 30 cm
  23. 44 cm
  24. 18 sq cm
  25. 2 cm
  26. 153 sq cm
  27. 100 sq cm
  28. 40 cm
  29. 121 sq cm
  30. 26 cm
  31. 49 sq cm
  32. 169 sq cm
  33. 12 cm
  34. 140 sq cm
  35. 18 sq cm
  36. 5 cm
  37. 39 sq cm
  38. 2 cm
  39. 9 cm
  40. 60 sq cm

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