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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 530 · 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 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 22 sq cm (c) 11 sq cm (d) 27 sq cm
  2. 2.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 14 cm (b) 78 cm (c) 7 cm (d) 8 cm
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 256 sq cm (d) 30 sq cm
  4. 4.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
  5. 5.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 35 cm (d) 48 cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  7. 7.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 40 cm (c) 51 cm (d) 20 cm
  8. 8.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 25 cm (c) 50 cm (d) 43 cm
  9. 9.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 11 cm (c) 162 cm (d) 10 cm
  10. 10.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  12. 12.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 32 sq cm (c) 16 sq cm (d) 60 sq cm
  13. 13.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 80 cm (c) 28 cm (d) 36 cm
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  15. 15.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
  16. 16.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 140 cm (c) 38 cm (d) 24 cm
  17. 17.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 12 cm (d) 24 cm
  18. 18.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 60 sq cm (d) 40 sq cm
  19. 19.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
  20. 20.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 54 cm (c) 14 cm (d) 7 cm
  21. 21.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  22. 22.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 42 sq cm (c) 120 sq cm (d) 21 sq cm
  23. 23.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) 3 cm (d) 26 cm
  24. 24.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
  25. 25.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 26 cm (d) 28 cm
  26. 26.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 21 cm (c) 42 cm (d) 54 cm
  27. 27.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 28 sq cm (d) 14 sq cm
  28. 28.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 24 sq cm (d) 18 sq cm
  29. 29.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 36 sq cm (c) 14 sq cm (d) 24 sq cm
  30. 30.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 36 cm (d) 34 cm
  31. 31.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 29 cm (d) 17 cm
  32. 32.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 5 cm (c) 6 cm (d) 10 cm
  33. 33.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 11 sq cm (d) 24 sq cm
  34. 34.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 38 cm (d) 42 cm
  35. 35.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 204 cm (c) 58 cm (d) 46 cm
  36. 36.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 6 cm (c) 7 cm (d) 12 cm
  37. 37.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 12 cm (b) 55 cm (c) 7 cm (d) 6 cm
  38. 38.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 132 sq cm (c) 44 sq cm (d) 120 sq cm
  39. 39.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 40 cm (c) 102 cm (d) 46 cm
  40. 40.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 10 cm (c) 20 cm (d) 16 cm

Answer key

  1. 18 sq cm
  2. 7 cm
  3. 225 sq cm
  4. 216 sq cm
  5. 38 cm
  6. 81 sq cm
  7. 40 cm
  8. 50 cm
  9. 10 cm
  10. 144 sq cm
  11. 49 sq cm
  12. 60 sq cm
  13. 36 cm
  14. 36 sq cm
  15. 196 sq cm
  16. 48 cm
  17. 12 cm
  18. 40 sq cm
  19. 169 sq cm
  20. 7 cm
  21. 100 sq cm
  22. 108 sq cm
  23. 3 cm
  24. 24 sq cm
  25. 30 cm
  26. 42 cm
  27. 48 sq cm
  28. 18 sq cm
  29. 24 sq cm
  30. 38 cm
  31. 34 cm
  32. 5 cm
  33. 24 sq cm
  34. 42 cm
  35. 58 cm
  36. 6 cm
  37. 6 cm
  38. 120 sq cm
  39. 46 cm
  40. 20 cm

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