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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 433 · 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 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 4 cm (c) 26 cm (d) 3 cm
  2. 2.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  3. 3.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 32 cm (c) 17 cm (d) 34 cm
  4. 4.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  6. 6.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 11 cm (d) 12 cm
  7. 7.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 15 cm (d) 28 cm
  8. 8.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 21 cm (c) 42 cm (d) 68 cm
  9. 9.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 20 cm (c) 162 cm (d) 11 cm
  10. 10.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 14 cm (c) 78 cm (d) 8 cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  12. 12.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 60 sq cm (c) 72 sq cm (d) 17 sq cm
  13. 13.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 8 cm (c) 16 cm (d) 9 cm
  14. 14.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 30 sq cm (c) 15 sq cm (d) 64 sq cm
  15. 15.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 16 cm (c) 9 cm (d) 8 cm
  16. 16.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 48 cm
  17. 17.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 45 sq cm (c) 13 sq cm (d) 36 sq cm
  18. 18.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  19. 19.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 143 cm (b) 48 cm (c) 24 cm (d) 37 cm
  20. 20.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 60 sq cm (c) 45 sq cm (d) 36 sq cm
  21. 21.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
  22. 22.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 60 cm (c) 7 cm (d) 8 cm
  23. 23.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 204 sq cm (d) 187 sq cm
  24. 24.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 4 cm (c) 2 cm (d) 3 cm
  25. 25.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  26. 26.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 19 cm (d) 15 cm
  27. 27.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 4 cm (c) 5 cm (d) 8 cm
  28. 28.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 24 sq cm (d) 18 sq cm
  29. 29.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 154 sq cm (d) 140 sq cm
  30. 30.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 49 cm (c) 60 cm (d) 30 cm
  31. 31.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  32. 32.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 90 sq cm (c) 44 sq cm (d) 22 sq cm
  33. 33.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 80 sq cm (d) 60 sq cm
  34. 34.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 165 sq cm (c) 180 sq cm (d) 26 sq cm
  35. 35.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 19 sq cm (d) 96 sq cm
  36. 36.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 12 cm (c) 50 cm (d) 6 cm
  37. 37.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 27 sq cm
  38. 38.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  39. 39.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
  40. 40.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 48 sq cm (c) 15 sq cm (d) 36 sq cm

Answer key

  1. 3 cm
  2. 36 sq cm
  3. 34 cm
  4. 64 sq cm
  5. 25 sq cm
  6. 11 cm
  7. 30 cm
  8. 42 cm
  9. 10 cm
  10. 7 cm
  11. 49 sq cm
  12. 60 sq cm
  13. 8 cm
  14. 56 sq cm
  15. 8 cm
  16. 4 cm
  17. 36 sq cm
  18. 100 sq cm
  19. 48 cm
  20. 45 sq cm
  21. 34 cm
  22. 7 cm
  23. 187 sq cm
  24. 2 cm
  25. 81 sq cm
  26. 18 cm
  27. 4 cm
  28. 18 sq cm
  29. 140 sq cm
  30. 60 cm
  31. 121 sq cm
  32. 72 sq cm
  33. 60 sq cm
  34. 165 sq cm
  35. 84 sq cm
  36. 6 cm
  37. 27 sq cm
  38. 144 sq cm
  39. 20 cm
  40. 36 sq cm

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