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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 286 · 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 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  3. 3.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 28 cm (c) 15 cm (d) 26 cm
  4. 4.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 48 cm (b) 30 cm (c) 60 cm (d) 216 cm
  5. 5.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  7. 7.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 42 cm (d) 20 cm
  8. 8.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 18 cm (c) 88 cm (d) 9 cm
  9. 9.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
  10. 10.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 135 sq cm (c) 24 sq cm (d) 150 sq cm
  11. 11.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 3 cm (c) 16 cm (d) 4 cm
  12. 12.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 28 cm
  13. 13.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 15 cm (c) 4 cm (d) 8 cm
  14. 14.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 28 cm (d) 36 cm
  15. 15.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 11 sq cm (d) 22 sq cm
  16. 16.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 8 cm (d) 16 cm
  17. 17.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  18. 18.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 30 cm (c) 15 cm (d) 26 cm
  19. 19.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 21 cm (d) 27 cm
  20. 20.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 80 cm
  21. 21.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 165 sq cm (c) 52 sq cm (d) 26 sq cm
  22. 22.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 75 cm
  23. 23.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 33 cm (d) 91 cm
  24. 24.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 68 sq cm (c) 42 sq cm (d) 21 sq cm
  25. 25.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 135 cm
  26. 26.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 48 sq cm (d) 13 sq cm
  27. 27.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 30 sq cm (c) 63 sq cm (d) 15 sq cm
  28. 28.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 38 sq cm (c) 60 sq cm (d) 19 sq cm
  29. 29.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 26 sq cm (c) 40 sq cm (d) 13 sq cm
  30. 30.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 38 cm
  31. 31.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 32 cm (c) 16 cm (d) 28 cm
  32. 32.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 27 sq cm (d) 12 sq cm
  33. 33.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 25 cm (d) 32 cm
  34. 34.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 2 cm (c) 5 cm (d) 4 cm
  35. 35.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 8 cm (c) 133 cm (d) 16 cm
  36. 36.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 44 cm (c) 22 cm (d) 41 cm
  37. 37.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 102 cm (c) 46 cm (d) 23 cm
  38. 38.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 144 sq cm (d) 132 sq cm
  39. 39.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 3 cm (c) 4 cm (d) 6 cm
  40. 40.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm

Answer key

  1. 49 sq cm
  2. 144 sq cm
  3. 30 cm
  4. 60 cm
  5. 24 sq cm
  6. 81 sq cm
  7. 26 cm
  8. 9 cm
  9. 160 sq cm
  10. 135 sq cm
  11. 3 cm
  12. 22 cm
  13. 4 cm
  14. 36 cm
  15. 18 sq cm
  16. 16 cm
  17. 121 sq cm
  18. 30 cm
  19. 24 cm
  20. 9 cm
  21. 165 sq cm
  22. 6 cm
  23. 40 cm
  24. 68 sq cm
  25. 10 cm
  26. 40 sq cm
  27. 54 sq cm
  28. 60 sq cm
  29. 30 sq cm
  30. 3 cm
  31. 32 cm
  32. 27 sq cm
  33. 32 cm
  34. 2 cm
  35. 8 cm
  36. 44 cm
  37. 46 cm
  38. 132 sq cm
  39. 3 cm
  40. 64 sq cm

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