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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 269 · 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 square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
  2. 2.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 95 sq cm (d) 76 sq cm
  3. 3.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 16 cm (c) 133 cm (d) 8 cm
  4. 4.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 19 cm (c) 15 cm (d) 9 cm
  5. 5.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 24 cm (d) 19 cm
  6. 6.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 12 cm (d) 20 cm
  7. 7.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 32 cm (d) 20 cm
  8. 8.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 28 cm
  9. 9.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 10 cm (c) 18 cm (d) 9 cm
  10. 10.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 8 cm (c) 18 cm (d) 5 cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  12. 12.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 108 cm (c) 24 cm (d) 48 cm
  13. 13.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 18 sq cm (d) 27 sq cm
  14. 14.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 22 cm (d) 13 cm
  15. 15.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 7 cm (c) 12 cm (d) 6 cm
  16. 16.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 112 cm
  17. 17.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 60 sq cm (c) 18 sq cm (d) 45 sq cm
  18. 18.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 80 sq cm (c) 100 sq cm (d) 24 sq cm
  19. 19.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 30 sq cm (c) 36 sq cm (d) 11 sq cm
  20. 20.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 32 cm (c) 30 cm (d) 34 cm
  21. 21.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 153 sq cm (d) 170 sq cm
  22. 22.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 38 cm (c) 30 cm (d) 19 cm
  23. 23.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 150 sq cm (d) 135 sq cm
  24. 24.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 40 sq cm (c) 26 sq cm (d) 13 sq cm
  25. 25.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 22 sq cm (c) 117 sq cm (d) 44 sq cm
  26. 26.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 36 cm (c) 40 cm (d) 20 cm
  27. 27.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 50 sq cm (c) 14 sq cm (d) 40 sq cm
  28. 28.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
  29. 29.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 108 sq cm (d) 96 sq cm
  30. 30.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 12 cm (c) 80 cm (d) 7 cm
  31. 31.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 16 cm (c) 98 cm (d) 8 cm
  32. 32.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
  33. 33.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  34. 34.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  35. 35.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 6 cm (c) 26 cm (d) 3 cm
  36. 36.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 24 cm
  37. 37.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 15 cm
  38. 38.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
  39. 39.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 18 cm (d) 20 cm
  40. 40.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 38 cm

Answer key

  1. 81 sq cm
  2. 76 sq cm
  3. 8 cm
  4. 18 cm
  5. 22 cm
  6. 24 cm
  7. 24 cm
  8. 5 cm
  9. 9 cm
  10. 4 cm
  11. 49 sq cm
  12. 48 cm
  13. 18 sq cm
  14. 26 cm
  15. 6 cm
  16. 9 cm
  17. 45 sq cm
  18. 80 sq cm
  19. 30 sq cm
  20. 34 cm
  21. 153 sq cm
  22. 38 cm
  23. 135 sq cm
  24. 40 sq cm
  25. 117 sq cm
  26. 40 cm
  27. 40 sq cm
  28. 100 sq cm
  29. 96 sq cm
  30. 6 cm
  31. 8 cm
  32. 64 sq cm
  33. 25 sq cm
  34. 36 sq cm
  35. 3 cm
  36. 3 cm
  37. 4 cm
  38. 24 sq cm
  39. 22 cm
  40. 3 cm

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