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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 280 · 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 square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  2. 2.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 22 cm (c) 12 cm (d) 11 cm
  3. 3.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 14 cm (c) 6 cm (d) 3 cm
  4. 4.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 38 cm (d) 48 cm
  5. 5.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 84 cm (b) 19 cm (c) 31 cm (d) 38 cm
  6. 6.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 198 sq cm (b) 29 sq cm (c) 58 sq cm (d) 216 sq cm
  7. 7.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 19 sq cm (d) 18 sq cm
  8. 8.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 11 cm (c) 120 cm (d) 22 cm
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  10. 10.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 44 cm (c) 10 cm (d) 6 cm
  11. 11.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 44 sq cm (c) 60 sq cm (d) 22 sq cm
  12. 12.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 30 cm (c) 17 cm (d) 11 cm
  13. 13.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 8 cm (c) 5 cm (d) 4 cm
  14. 14.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 80 sq cm (d) 70 sq cm
  15. 15.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 26 cm
  16. 16.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 11 cm (d) 10 cm
  17. 17.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 12 cm (c) 70 cm (d) 6 cm
  18. 18.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  19. 19.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 43 cm (c) 153 cm (d) 52 cm
  20. 20.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 49 sq cm (c) 26 sq cm (d) 42 sq cm
  21. 21.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  22. 22.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 36 sq cm (d) 22 sq cm
  23. 23.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 16 sq cm (d) 12 sq cm
  24. 24.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 31 cm (c) 62 cm (d) 228 cm
  25. 25.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 170 sq cm (c) 153 sq cm (d) 26 sq cm
  26. 26.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 24 cm (d) 20 cm
  27. 27.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 58 cm (c) 29 cm (d) 180 cm
  28. 28.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 57 cm (c) 41 cm (d) 44 cm
  29. 29.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 19 cm (d) 11 cm
  30. 30.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 26 cm (c) 52 cm (d) 144 cm
  31. 31.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 36 cm (d) 64 cm
  32. 32.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  33. 33.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 162 cm (c) 10 cm (d) 20 cm
  34. 34.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 153 sq cm (d) 136 sq cm
  35. 35.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  36. 36.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 15 sq cm (c) 30 sq cm (d) 56 sq cm
  37. 37.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  38. 38.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 68 cm (c) 38 cm (d) 21 cm
  39. 39.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 187 sq cm (b) 56 sq cm (c) 28 sq cm (d) 204 sq cm
  40. 40.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 36 cm (c) 4 cm (d) 8 cm

Answer key

  1. 121 sq cm
  2. 11 cm
  3. 3 cm
  4. 38 cm
  5. 38 cm
  6. 198 sq cm
  7. 18 sq cm
  8. 11 cm
  9. 225 sq cm
  10. 5 cm
  11. 40 sq cm
  12. 22 cm
  13. 4 cm
  14. 70 sq cm
  15. 3 cm
  16. 10 cm
  17. 6 cm
  18. 81 sq cm
  19. 52 cm
  20. 42 sq cm
  21. 27 sq cm
  22. 30 sq cm
  23. 12 sq cm
  24. 62 cm
  25. 153 sq cm
  26. 20 cm
  27. 58 cm
  28. 44 cm
  29. 22 cm
  30. 52 cm
  31. 40 cm
  32. 64 sq cm
  33. 10 cm
  34. 136 sq cm
  35. 49 sq cm
  36. 56 sq cm
  37. 196 sq cm
  38. 42 cm
  39. 187 sq cm
  40. 4 cm

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