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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 463 · 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 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 19 cm (d) 35 cm
  2. 2.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 22 sq cm (b) 112 sq cm (c) 126 sq cm (d) 44 sq cm
  3. 3.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 84 cm (b) 31 cm (c) 38 cm (d) 19 cm
  4. 4.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 48 cm (d) 216 cm
  5. 5.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 10 cm (d) 9 cm
  6. 6.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 9 cm (c) 10 cm (d) 18 cm
  7. 7.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 114 sq cm (d) 95 sq cm
  8. 8.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 30 cm (c) 16 cm (d) 32 cm
  9. 9.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 25 cm (c) 16 cm (d) 32 cm
  10. 10.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  11. 11.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 5 cm (c) 6 cm (d) 10 cm
  12. 12.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 198 sq cm (b) 29 sq cm (c) 216 sq cm (d) 58 sq cm
  13. 13.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 54 cm (b) 140 cm (c) 27 cm (d) 47 cm
  14. 14.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 13 cm (c) 24 cm (d) 12 cm
  15. 15.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 30 cm (c) 17 cm (d) 52 cm
  16. 16.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 200 cm (c) 11 cm (d) 12 cm
  17. 17.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  18. 18.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 70 cm
  19. 19.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
  20. 20.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 6 cm (c) 5 cm (d) 10 cm
  21. 21.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 13 cm (c) 165 cm (d) 24 cm
  22. 22.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 39 cm (b) 4 cm (c) 8 cm (d) 5 cm
  23. 23.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 48 sq cm
  24. 24.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 180 sq cm (d) 200 sq cm
  25. 25.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 27 sq cm (c) 192 sq cm (d) 54 sq cm
  26. 26.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  27. 27.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
  28. 28.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 22 cm (c) 12 cm (d) 11 cm
  29. 29.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
  30. 30.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 100 cm
  31. 31.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
  32. 32.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 20 cm (c) 162 cm (d) 10 cm
  33. 33.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 16 cm (c) 8 cm (d) 9 cm
  34. 34.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 50 cm (b) 136 cm (c) 25 cm (d) 42 cm
  35. 35.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 22 sq cm (d) 11 sq cm
  36. 36.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 45 cm (d) 133 cm
  37. 37.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 34 cm
  38. 38.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 75 sq cm (c) 90 sq cm (d) 20 sq cm
  39. 39.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 4 cm (c) 32 cm (d) 3 cm
  40. 40.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 70 sq cm (d) 60 sq cm

Answer key

  1. 24 cm
  2. 112 sq cm
  3. 38 cm
  4. 60 cm
  5. 9 cm
  6. 9 cm
  7. 95 sq cm
  8. 32 cm
  9. 32 cm
  10. 100 sq cm
  11. 5 cm
  12. 198 sq cm
  13. 54 cm
  14. 12 cm
  15. 34 cm
  16. 11 cm
  17. 25 sq cm
  18. 6 cm
  19. 81 sq cm
  20. 5 cm
  21. 12 cm
  22. 4 cm
  23. 40 sq cm
  24. 180 sq cm
  25. 176 sq cm
  26. 169 sq cm
  27. 225 sq cm
  28. 11 cm
  29. 36 sq cm
  30. 6 cm
  31. 32 sq cm
  32. 10 cm
  33. 8 cm
  34. 50 cm
  35. 30 sq cm
  36. 52 cm
  37. 3 cm
  38. 75 sq cm
  39. 3 cm
  40. 60 sq cm

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