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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 392 · 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 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 6 cm (c) 12 cm (d) 7 cm
  2. 2.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 72 cm
  3. 3.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 19 sq cm (d) 24 sq cm
  4. 4.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 80 cm (c) 42 cm (d) 21 cm
  5. 5.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 72 sq cm (d) 90 sq cm
  6. 6.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 65 cm (c) 36 cm (d) 31 cm
  7. 7.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 42 sq cm (d) 34 sq cm
  8. 8.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 108 cm (c) 10 cm (d) 20 cm
  9. 9.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 153 cm (c) 10 cm (d) 20 cm
  10. 10.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 46 cm (c) 26 cm (d) 52 cm
  11. 11.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  12. 12.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 28 sq cm (c) 14 sq cm (d) 33 sq cm
  13. 13.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 144 cm (b) 10 cm (c) 20 cm (d) 11 cm
  14. 14.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 100 sq cm (c) 90 sq cm (d) 38 sq cm
  15. 15.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 48 cm (d) 32 cm
  16. 16.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 10 cm (b) 4 cm (c) 3 cm (d) 6 cm
  17. 17.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 48 sq cm (d) 32 sq cm
  18. 18.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 4 cm (c) 2 cm (d) 3 cm
  19. 19.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 10 cm (d) 20 cm
  20. 20.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 170 cm
  21. 21.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 84 cm (c) 40 cm (d) 34 cm
  22. 22.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  23. 23.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  24. 24.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  25. 25.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 26 cm (c) 24 cm (d) 28 cm
  26. 26.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 7 cm (c) 8 cm (d) 14 cm
  27. 27.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 220 cm
  28. 28.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 14 sq cm (c) 50 sq cm (d) 28 sq cm
  29. 29.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 98 cm
  30. 30.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 156 sq cm (c) 48 sq cm (d) 143 sq cm
  31. 31.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 8 cm (c) 5 cm (d) 4 cm
  32. 32.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 10 cm (c) 20 cm (d) 17 cm
  33. 33.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 81 sq cm (c) 34 sq cm (d) 17 sq cm
  34. 34.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 70 sq cm (c) 34 sq cm (d) 17 sq cm
  35. 35.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 140 sq cm (c) 154 sq cm (d) 24 sq cm
  36. 36.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
  37. 37.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 32 sq cm (d) 48 sq cm
  38. 38.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 32 sq cm (c) 16 sq cm (d) 39 sq cm
  39. 39.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 180 sq cm (d) 160 sq cm
  40. 40.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm

Answer key

  1. 6 cm
  2. 7 cm
  3. 18 sq cm
  4. 42 cm
  5. 72 sq cm
  6. 36 cm
  7. 42 sq cm
  8. 10 cm
  9. 10 cm
  10. 52 cm
  11. 81 sq cm
  12. 33 sq cm
  13. 10 cm
  14. 90 sq cm
  15. 32 cm
  16. 3 cm
  17. 48 sq cm
  18. 2 cm
  19. 20 cm
  20. 11 cm
  21. 40 cm
  22. 196 sq cm
  23. 64 sq cm
  24. 25 sq cm
  25. 28 cm
  26. 7 cm
  27. 12 cm
  28. 40 sq cm
  29. 8 cm
  30. 143 sq cm
  31. 4 cm
  32. 20 cm
  33. 72 sq cm
  34. 70 sq cm
  35. 140 sq cm
  36. 12 sq cm
  37. 32 sq cm
  38. 39 sq cm
  39. 160 sq cm
  40. 121 sq cm

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