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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 786 · 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 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  2. 2.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 20 cm (c) 10 cm (d) 11 cm
  3. 3.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 27 cm (b) 180 cm (c) 42 cm (d) 54 cm
  4. 4.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  5. 5.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
  6. 6.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 10 cm (d) 20 cm
  7. 7.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 32 sq cm (d) 40 sq cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  9. 9.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  10. 10.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 136 cm (b) 9 cm (c) 10 cm (d) 18 cm
  11. 11.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 90 cm (c) 36 cm (d) 42 cm
  12. 12.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 12 cm (d) 11 cm
  13. 13.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 46 sq cm (c) 23 sq cm (d) 126 sq cm
  14. 14.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 34 cm (c) 17 cm (d) 66 cm
  15. 15.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 40 cm (c) 44 cm (d) 42 cm
  16. 16.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 33 sq cm (c) 22 sq cm (d) 26 sq cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  18. 18.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 22 sq cm (c) 44 sq cm (d) 57 sq cm
  19. 19.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 48 sq cm (c) 16 sq cm (d) 32 sq cm
  20. 20.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 36 cm (d) 27 cm
  21. 21.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  23. 23.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 9 cm (d) 18 cm
  24. 24.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 3 cm (c) 4 cm (d) 2 cm
  25. 25.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 187 sq cm (c) 204 sq cm (d) 28 sq cm
  26. 26.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 4 cm (c) 8 cm (d) 5 cm
  27. 27.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 12 cm (b) 7 cm (c) 45 cm (d) 6 cm
  28. 28.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 13 cm (c) 24 cm (d) 12 cm
  29. 29.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 16 cm (c) 9 cm (d) 8 cm
  30. 30.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 20 cm (d) 22 cm
  31. 31.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
  32. 32.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 70 cm
  33. 33.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 24 cm (c) 12 cm (d) 27 cm
  34. 34.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 24 sq cm (c) 36 sq cm (d) 14 sq cm
  35. 35.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 108 sq cm (c) 120 sq cm (d) 42 sq cm
  36. 36.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 42 sq cm (c) 110 sq cm (d) 21 sq cm
  37. 37.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 133 sq cm (d) 114 sq cm
  38. 38.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 51 sq cm (d) 68 sq cm
  39. 39.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 33 cm (c) 14 cm (d) 28 cm
  40. 40.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 16 cm (c) 112 cm (d) 8 cm

Answer key

  1. 25 sq cm
  2. 10 cm
  3. 54 cm
  4. 64 sq cm
  5. 49 sq cm
  6. 20 cm
  7. 32 sq cm
  8. 36 sq cm
  9. 196 sq cm
  10. 9 cm
  11. 42 cm
  12. 11 cm
  13. 126 sq cm
  14. 34 cm
  15. 44 cm
  16. 22 sq cm
  17. 81 sq cm
  18. 57 sq cm
  19. 48 sq cm
  20. 30 cm
  21. 100 sq cm
  22. 144 sq cm
  23. 18 cm
  24. 2 cm
  25. 187 sq cm
  26. 4 cm
  27. 6 cm
  28. 12 cm
  29. 8 cm
  30. 22 cm
  31. 121 sq cm
  32. 6 cm
  33. 24 cm
  34. 24 sq cm
  35. 108 sq cm
  36. 110 sq cm
  37. 114 sq cm
  38. 51 sq cm
  39. 28 cm
  40. 8 cm

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