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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 674 · 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 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 6 cm (c) 4 cm (d) 3 cm
  2. 2.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
  3. 3.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 220 sq cm (b) 200 sq cm (c) 60 sq cm (d) 30 sq cm
  4. 4.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 14 sq cm (c) 24 sq cm (d) 28 sq cm
  5. 5.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 68 cm (b) 6 cm (c) 5 cm (d) 10 cm
  6. 6.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 9 sq cm (d) 18 sq cm
  7. 7.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 13 sq cm (d) 42 sq cm
  8. 8.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 27 cm (b) 176 cm (c) 54 cm (d) 43 cm
  9. 9.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 30 sq cm (c) 56 sq cm (d) 15 sq cm
  10. 10.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 120 cm (c) 7 cm (d) 8 cm
  11. 11.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 32 cm
  12. 12.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 6 cm (c) 7 cm (d) 12 cm
  13. 13.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
  14. 14.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 95 sq cm (c) 48 sq cm (d) 114 sq cm
  15. 15.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 48 sq cm (c) 143 sq cm (d) 24 sq cm
  16. 16.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  17. 17.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
  18. 18.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 64 cm (c) 20 cm (d) 36 cm
  19. 19.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 22 cm (d) 30 cm
  20. 20.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 96 cm (c) 9 cm (d) 18 cm
  21. 21.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 10 cm (d) 24 cm
  22. 22.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  23. 23.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 165 sq cm (b) 150 sq cm (c) 50 sq cm (d) 25 sq cm
  24. 24.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  25. 25.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 165 sq cm (c) 52 sq cm (d) 180 sq cm
  26. 26.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 50 sq cm (d) 60 sq cm
  27. 27.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 48 cm (c) 8 cm (d) 7 cm
  28. 28.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 4 cm (c) 2 cm (d) 3 cm
  29. 29.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  30. 30.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 102 sq cm (c) 22 sq cm (d) 44 sq cm
  31. 31.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 84 cm (d) 34 cm
  32. 32.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 54 sq cm (c) 45 sq cm (d) 28 sq cm
  33. 33.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 14 cm
  34. 34.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
  35. 35.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 120 cm (c) 46 cm (d) 23 cm
  36. 36.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
  37. 37.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 25 cm (c) 50 cm (d) 30 cm
  38. 38.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 26 sq cm (c) 52 sq cm (d) 120 sq cm
  39. 39.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 98 cm (c) 16 cm (d) 9 cm
  40. 40.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 77 cm (c) 18 cm (d) 36 cm

Answer key

  1. 3 cm
  2. 225 sq cm
  3. 200 sq cm
  4. 24 sq cm
  5. 5 cm
  6. 18 sq cm
  7. 42 sq cm
  8. 54 cm
  9. 56 sq cm
  10. 7 cm
  11. 5 cm
  12. 6 cm
  13. 169 sq cm
  14. 95 sq cm
  15. 143 sq cm
  16. 144 sq cm
  17. 81 sq cm
  18. 40 cm
  19. 22 cm
  20. 9 cm
  21. 20 cm
  22. 100 sq cm
  23. 150 sq cm
  24. 25 sq cm
  25. 165 sq cm
  26. 50 sq cm
  27. 7 cm
  28. 2 cm
  29. 64 sq cm
  30. 85 sq cm
  31. 40 cm
  32. 45 sq cm
  33. 2 cm
  34. 20 sq cm
  35. 46 cm
  36. 121 sq cm
  37. 30 cm
  38. 120 sq cm
  39. 8 cm
  40. 36 cm

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