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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 734 · 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 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  2. 2.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 20 sq cm (d) 24 sq cm
  3. 3.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
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  5. 5.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 23 sq cm (c) 46 sq cm (d) 128 sq cm
  6. 6.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 29 cm (c) 39 cm (d) 16 cm
  7. 7.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 63 cm (c) 16 cm (d) 32 cm
  8. 8.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 28 cm (c) 26 cm (d) 15 cm
  9. 9.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 26 cm
  10. 10.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 9 cm (c) 16 cm (d) 8 cm
  11. 11.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 140 sq cm (c) 120 sq cm (d) 52 sq cm
  12. 12.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  13. 13.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 108 cm (c) 11 cm (d) 20 cm
  14. 14.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 39 cm (b) 48 cm (c) 24 cm (d) 135 cm
  15. 15.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 27 sq cm (c) 162 sq cm (d) 54 sq cm
  16. 16.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
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  18. 18.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  19. 19.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  20. 20.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 44 cm (c) 50 cm (d) 114 cm
  21. 21.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 170 sq cm (c) 153 sq cm (d) 52 sq cm
  22. 22.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 1 cm (c) 2 cm (d) 4 cm
  23. 23.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 9 cm (d) 16 cm
  24. 24.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 17 cm (b) 52 cm (c) 34 cm (d) 30 cm
  25. 25.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  26. 26.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 10 cm (c) 11 cm (d) 20 cm
  27. 27.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 18 cm (b) 6 cm (c) 3 cm (d) 4 cm
  28. 28.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 18 cm (d) 11 cm
  29. 29.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  30. 30.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 68 sq cm (c) 21 sq cm (d) 42 sq cm
  31. 31.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 30 cm (c) 23 cm (d) 15 cm
  32. 32.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 48 cm (c) 5 cm (d) 6 cm
  33. 33.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 165 sq cm (b) 50 sq cm (c) 150 sq cm (d) 25 sq cm
  34. 34.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  35. 35.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 90 sq cm (d) 80 sq cm
  36. 36.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 13 cm (d) 21 cm
  37. 37.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 13 sq cm (c) 26 sq cm (d) 22 sq cm
  38. 38.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 25 cm (c) 14 cm (d) 28 cm
  39. 39.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 28 cm (c) 30 cm (d) 16 cm
  40. 40.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 114 sq cm (b) 25 sq cm (c) 133 sq cm (d) 50 sq cm

Answer key

  1. 25 sq cm
  2. 20 sq cm
  3. 165 sq cm
  4. 36 sq cm
  5. 112 sq cm
  6. 32 cm
  7. 32 cm
  8. 30 cm
  9. 3 cm
  10. 8 cm
  11. 120 sq cm
  12. 144 sq cm
  13. 10 cm
  14. 48 cm
  15. 162 sq cm
  16. 91 sq cm
  17. 81 sq cm
  18. 196 sq cm
  19. 121 sq cm
  20. 50 cm
  21. 153 sq cm
  22. 2 cm
  23. 18 cm
  24. 34 cm
  25. 169 sq cm
  26. 10 cm
  27. 3 cm
  28. 22 cm
  29. 225 sq cm
  30. 68 sq cm
  31. 30 cm
  32. 5 cm
  33. 150 sq cm
  34. 64 sq cm
  35. 80 sq cm
  36. 26 cm
  37. 22 sq cm
  38. 28 cm
  39. 32 cm
  40. 114 sq cm

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