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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 805 · 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 27 sq cm and a length of 9 cm. What is its width? (a) 18 cm (b) 4 cm (c) 6 cm (d) 3 cm
  2. 2.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 77 sq cm (c) 66 sq cm (d) 17 sq cm
  3. 3.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 27 cm (c) 16 cm (d) 32 cm
  4. 4.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 22 sq cm (d) 11 sq cm
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  6. 6.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  7. 7.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
  8. 8.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 80 cm (c) 48 cm (d) 44 cm
  9. 9.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 14 sq cm (c) 56 sq cm (d) 28 sq cm
  10. 10.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 187 cm (c) 45 cm (d) 56 cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
  12. 12.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) 12 cm (d) 187 cm
  13. 13.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 45 sq cm (d) 36 sq cm
  14. 14.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 34 cm (d) 17 cm
  15. 15.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 234 sq cm (c) 216 sq cm (d) 60 sq cm
  16. 16.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 21 cm (d) 17 cm
  17. 17.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 76 sq cm (c) 95 sq cm (d) 23 sq cm
  18. 18.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 56 sq cm (d) 64 sq cm
  19. 19.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 190 cm (d) 48 cm
  20. 20.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 80 sq cm (d) 100 sq cm
  21. 21.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 180 cm (b) 58 cm (c) 49 cm (d) 29 cm
  22. 22.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 18 cm (d) 10 cm
  23. 23.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
  24. 24.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 27 sq cm (d) 36 sq cm
  25. 25.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
  26. 26.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 150 cm (c) 22 cm (d) 12 cm
  27. 27.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 198 sq cm (b) 58 sq cm (c) 216 sq cm (d) 29 sq cm
  28. 28.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
  29. 29.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
  30. 30.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  31. 31.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 22 sq cm (d) 36 sq cm
  32. 32.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 18 sq cm (d) 24 sq cm
  33. 33.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 28 cm (c) 16 cm (d) 48 cm
  34. 34.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 30 cm (c) 8 cm (d) 4 cm
  35. 35.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  36. 36.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 17 sq cm (c) 34 sq cm (d) 45 sq cm
  37. 37.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 25 cm (d) 63 cm
  38. 38.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 41 cm (d) 119 cm
  39. 39.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  40. 40.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 46 cm (c) 40 cm (d) 23 cm

Answer key

  1. 3 cm
  2. 66 sq cm
  3. 32 cm
  4. 24 sq cm
  5. 64 sq cm
  6. 25 sq cm
  7. 100 sq cm
  8. 48 cm
  9. 48 sq cm
  10. 56 cm
  11. 49 sq cm
  12. 12 cm
  13. 36 sq cm
  14. 34 cm
  15. 216 sq cm
  16. 20 cm
  17. 76 sq cm
  18. 56 sq cm
  19. 58 cm
  20. 80 sq cm
  21. 58 cm
  22. 20 cm
  23. 72 sq cm
  24. 27 sq cm
  25. 38 cm
  26. 11 cm
  27. 198 sq cm
  28. 144 sq cm
  29. 20 cm
  30. 36 sq cm
  31. 30 sq cm
  32. 18 sq cm
  33. 32 cm
  34. 4 cm
  35. 128 sq cm
  36. 30 sq cm
  37. 32 cm
  38. 48 cm
  39. 81 sq cm
  40. 46 cm

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