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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 75 · 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 7 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 63 cm (d) 25 cm
  2. 2.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 108 sq cm (c) 90 sq cm (d) 23 sq cm
  3. 3.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 40 cm (d) 102 cm
  4. 4.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 260 sq cm (c) 64 sq cm (d) 32 sq cm
  5. 5.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 5 cm
  6. 6.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
  7. 7.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 17 sq cm (d) 72 sq cm
  8. 8.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 26 sq cm (d) 42 sq cm
  9. 9.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 100 sq cm (c) 50 sq cm (d) 25 sq cm
  10. 10.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 41 cm (b) 24 cm (c) 119 cm (d) 48 cm
  11. 11.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 126 cm (b) 9 cm (c) 16 cm (d) 8 cm
  12. 12.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
  13. 13.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 160 cm
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  15. 15.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  16. 16.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
  17. 17.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 24 sq cm (d) 9 sq cm
  18. 18.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 16 sq cm
  19. 19.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 13 cm (c) 154 cm (d) 12 cm
  20. 20.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 8 cm (c) 7 cm (d) 14 cm
  21. 21.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 11 cm (c) 150 cm (d) 22 cm
  22. 22.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 150 sq cm (c) 48 sq cm (d) 24 sq cm
  23. 23.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 4 cm (c) 6 cm (d) 3 cm
  24. 24.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 105 cm
  25. 25.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 12 cm (d) 13 cm
  26. 26.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 10 cm (d) 2 cm
  27. 27.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  28. 28.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 45 cm (c) 50 cm (d) 100 cm
  29. 29.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 180 cm (b) 29 cm (c) 58 cm (d) 49 cm
  30. 30.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  31. 31.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 48 cm (c) 6 cm (d) 10 cm
  32. 32.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  33. 33.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 135 sq cm (c) 23 sq cm (d) 120 sq cm
  34. 34.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 65 sq cm (d) 78 sq cm
  35. 35.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 7 cm (c) 6 cm (d) 12 cm
  36. 36.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 18 cm (d) 28 cm
  37. 37.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  38. 38.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 45 cm (c) 23 cm (d) 28 cm
  39. 39.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 24 sq cm (d) 22 sq cm
  40. 40.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm

Answer key

  1. 32 cm
  2. 90 sq cm
  3. 46 cm
  4. 240 sq cm
  5. 2 cm
  6. 24 sq cm
  7. 72 sq cm
  8. 42 sq cm
  9. 100 sq cm
  10. 48 cm
  11. 8 cm
  12. 36 sq cm
  13. 9 cm
  14. 64 sq cm
  15. 25 sq cm
  16. 16 cm
  17. 18 sq cm
  18. 16 sq cm
  19. 12 cm
  20. 7 cm
  21. 11 cm
  22. 135 sq cm
  23. 3 cm
  24. 8 cm
  25. 12 cm
  26. 2 cm
  27. 196 sq cm
  28. 50 cm
  29. 58 cm
  30. 169 sq cm
  31. 5 cm
  32. 144 sq cm
  33. 120 sq cm
  34. 65 sq cm
  35. 6 cm
  36. 22 cm
  37. 49 sq cm
  38. 28 cm
  39. 24 sq cm
  40. 100 sq cm

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