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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 638 · 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 85 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 5 cm (c) 68 cm (d) 10 cm
  2. 2.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 84 cm (c) 7 cm (d) 8 cm
  3. 3.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
  4. 4.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 21 cm (c) 24 cm (d) 27 cm
  5. 5.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
  6. 6.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 9 cm (c) 80 cm (d) 18 cm
  7. 7.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 20 cm (d) 10 cm
  8. 8.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 48 cm (b) 43 cm (c) 95 cm (d) 24 cm
  9. 9.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  10. 10.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  11. 11.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 60 cm (c) 8 cm (d) 5 cm
  12. 12.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 10 cm (c) 4 cm (d) 3 cm
  13. 13.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 57 cm
  14. 14.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 12 sq cm (c) 40 sq cm (d) 24 sq cm
  15. 15.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 30 cm (d) 23 cm
  16. 16.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 136 cm
  17. 17.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
  18. 18.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 84 sq cm (d) 70 sq cm
  19. 19.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 16 cm
  20. 20.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 126 sq cm (d) 144 sq cm
  21. 21.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 18 cm (c) 120 cm (d) 10 cm
  22. 22.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  23. 23.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 90 sq cm (d) 80 sq cm
  24. 24.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 26 cm (c) 45 cm (d) 52 cm
  25. 25.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 18 cm (d) 19 cm
  26. 26.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  27. 27.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 30 sq cm (c) 26 sq cm (d) 13 sq cm
  28. 28.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 7 cm (c) 90 cm (d) 12 cm
  29. 29.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 182 sq cm (c) 168 sq cm (d) 26 sq cm
  30. 30.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 27 cm (c) 176 cm (d) 54 cm
  31. 31.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 40 sq cm (c) 20 sq cm (d) 104 sq cm
  32. 32.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 11 cm (c) 24 cm (d) 22 cm
  33. 33.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 144 cm (c) 9 cm (d) 18 cm
  34. 34.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 52 cm (c) 34 cm (d) 17 cm
  35. 35.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 33 cm (c) 18 cm (d) 36 cm
  36. 36.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 8 cm (c) 120 cm (d) 14 cm
  37. 37.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 10 sq cm (d) 30 sq cm
  38. 38.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 15 cm (c) 30 cm (d) 50 cm
  39. 39.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 6 cm (c) 38 cm (d) 3 cm
  40. 40.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 13 cm (c) 154 cm (d) 24 cm

Answer key

  1. 5 cm
  2. 7 cm
  3. 25 sq cm
  4. 24 cm
  5. 144 sq cm
  6. 9 cm
  7. 20 cm
  8. 48 cm
  9. 49 sq cm
  10. 36 sq cm
  11. 4 cm
  12. 3 cm
  13. 4 cm
  14. 32 sq cm
  15. 26 cm
  16. 9 cm
  17. 64 sq cm
  18. 70 sq cm
  19. 3 cm
  20. 126 sq cm
  21. 9 cm
  22. 100 sq cm
  23. 80 sq cm
  24. 52 cm
  25. 18 cm
  26. 196 sq cm
  27. 30 sq cm
  28. 6 cm
  29. 168 sq cm
  30. 54 cm
  31. 91 sq cm
  32. 22 cm
  33. 9 cm
  34. 34 cm
  35. 36 cm
  36. 7 cm
  37. 24 sq cm
  38. 30 cm
  39. 3 cm
  40. 12 cm

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