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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 848 · 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 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 9 cm (d) 10 cm
  2. 2.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 29 cm (c) 34 cm (d) 17 cm
  3. 3.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 52 sq cm (c) 26 sq cm (d) 133 sq cm
  4. 4.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 70 cm
  5. 5.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 40 cm
  6. 6.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 40 sq cm (c) 80 sq cm (d) 20 sq cm
  7. 7.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 16 cm
  8. 8.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 11 cm (c) 10 cm (d) 20 cm
  9. 9.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 18 sq cm (c) 36 sq cm (d) 45 sq cm
  10. 10.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  11. 11.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 32 sq cm (d) 12 sq cm
  12. 12.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 27 sq cm
  13. 13.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 90 sq cm (c) 42 sq cm (d) 21 sq cm
  14. 14.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 11 cm
  15. 15.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 112 cm (d) 36 cm
  16. 16.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 39 cm
  17. 17.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 204 sq cm (c) 28 sq cm (d) 187 sq cm
  18. 18.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
  19. 19.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 39 cm (b) 24 cm (c) 48 cm (d) 135 cm
  20. 20.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 11 cm (c) 22 cm (d) 12 cm
  21. 21.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 200 cm
  22. 22.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 17 cm (c) 30 cm (d) 11 cm
  23. 23.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 33 sq cm (d) 44 sq cm
  24. 24.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 187 cm (c) 56 cm (d) 28 cm
  25. 25.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 160 sq cm (c) 56 sq cm (d) 180 sq cm
  26. 26.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 21 sq cm (c) 10 sq cm (d) 28 sq cm
  27. 27.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 11 cm (c) 135 cm (d) 20 cm
  28. 28.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 17 cm (c) 34 cm (d) 26 cm
  29. 29.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 46 cm (c) 102 cm (d) 23 cm
  30. 30.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 121 sq cm (c) 110 sq cm (d) 21 sq cm
  31. 31.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 240 sq cm (d) 220 sq cm
  32. 32.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 11 cm (c) 20 cm (d) 10 cm
  33. 33.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 180 sq cm (d) 162 sq cm
  34. 34.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 18 sq cm (c) 36 sq cm (d) 32 sq cm
  35. 35.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 54 sq cm (c) 27 sq cm (d) 152 sq cm
  36. 36.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 54 sq cm (c) 14 sq cm (d) 45 sq cm
  37. 37.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
  38. 38.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 180 cm (c) 27 cm (d) 42 cm
  39. 39.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 10 cm (c) 76 cm (d) 5 cm
  40. 40.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 48 sq cm (c) 56 sq cm (d) 28 sq cm

Answer key

  1. 9 cm
  2. 34 cm
  3. 133 sq cm
  4. 6 cm
  5. 6 cm
  6. 64 sq cm
  7. 3 cm
  8. 10 cm
  9. 45 sq cm
  10. 25 sq cm
  11. 32 sq cm
  12. 27 sq cm
  13. 90 sq cm
  14. 2 cm
  15. 44 cm
  16. 4 cm
  17. 187 sq cm
  18. 64 sq cm
  19. 48 cm
  20. 11 cm
  21. 11 cm
  22. 22 cm
  23. 33 sq cm
  24. 56 cm
  25. 160 sq cm
  26. 21 sq cm
  27. 10 cm
  28. 34 cm
  29. 46 cm
  30. 110 sq cm
  31. 220 sq cm
  32. 10 cm
  33. 162 sq cm
  34. 32 sq cm
  35. 152 sq cm
  36. 45 sq cm
  37. 121 sq cm
  38. 54 cm
  39. 5 cm
  40. 48 sq cm

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