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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 967 · 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 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  2. 2.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 187 cm (b) 56 cm (c) 28 cm (d) 45 cm
  3. 3.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 34 sq cm (c) 80 sq cm (d) 17 sq cm
  4. 4.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  5. 5.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 105 sq cm (d) 22 sq cm
  6. 6.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 3 cm (c) 4 cm (d) 2 cm
  7. 7.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 48 cm
  8. 8.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
  9. 9.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 66 sq cm (c) 77 sq cm (d) 34 sq cm
  10. 10.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 96 cm
  11. 11.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 120 sq cm (d) 135 sq cm
  12. 12.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 72 sq cm (d) 81 sq cm
  13. 13.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 102 sq cm (b) 46 sq cm (c) 119 sq cm (d) 23 sq cm
  14. 14.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 110 sq cm (c) 40 sq cm (d) 99 sq cm
  15. 15.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 22 cm (d) 11 cm
  16. 16.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 2 cm (c) 3 cm (d) 4 cm
  17. 17.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 70 cm (c) 19 cm (d) 38 cm
  18. 18.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 3 cm (c) 18 cm (d) 2 cm
  19. 19.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 35 sq cm (c) 11 sq cm (d) 22 sq cm
  20. 20.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
  21. 21.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 12 cm (c) 35 cm (d) 7 cm
  22. 22.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 11 cm (c) 162 cm (d) 10 cm
  23. 23.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
  24. 24.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 60 cm (c) 6 cm (d) 7 cm
  25. 25.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 11 cm (d) 22 cm
  26. 26.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  27. 27.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  28. 28.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 22 sq cm (c) 85 sq cm (d) 44 sq cm
  29. 29.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  30. 30.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 30 cm (d) 28 cm
  31. 31.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 20 cm (d) 10 cm
  32. 32.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 36 cm (b) 29 cm (c) 18 cm (d) 77 cm
  33. 33.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 48 sq cm (c) 13 sq cm (d) 26 sq cm
  34. 34.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 24 sq cm (d) 18 sq cm
  35. 35.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 6 cm (c) 10 cm (d) 5 cm
  36. 36.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 11 sq cm (c) 22 sq cm (d) 24 sq cm
  37. 37.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 51 sq cm (d) 34 sq cm
  38. 38.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 42 sq cm (d) 28 sq cm
  39. 39.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 120 sq cm (c) 42 sq cm (d) 21 sq cm
  40. 40.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 42 sq cm (d) 35 sq cm

Answer key

  1. 64 sq cm
  2. 56 cm
  3. 70 sq cm
  4. 169 sq cm
  5. 105 sq cm
  6. 2 cm
  7. 7 cm
  8. 121 sq cm
  9. 66 sq cm
  10. 9 cm
  11. 120 sq cm
  12. 72 sq cm
  13. 102 sq cm
  14. 99 sq cm
  15. 22 cm
  16. 2 cm
  17. 38 cm
  18. 2 cm
  19. 28 sq cm
  20. 24 sq cm
  21. 6 cm
  22. 10 cm
  23. 49 sq cm
  24. 6 cm
  25. 22 cm
  26. 81 sq cm
  27. 144 sq cm
  28. 85 sq cm
  29. 225 sq cm
  30. 30 cm
  31. 20 cm
  32. 36 cm
  33. 40 sq cm
  34. 18 sq cm
  35. 5 cm
  36. 24 sq cm
  37. 34 sq cm
  38. 28 sq cm
  39. 108 sq cm
  40. 35 sq cm

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