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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 465 · 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) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  3. 3.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 18 cm (c) 144 cm (d) 10 cm
  4. 4.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 24 cm (d) 11 cm
  5. 5.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) 4 cm (d) 5 cm
  6. 6.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 39 sq cm (c) 26 sq cm (d) 30 sq cm
  7. 7.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 105 cm
  8. 8.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 56 cm (c) 46 cm (d) 28 cm
  9. 9.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
  10. 10.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 27 sq cm (d) 12 sq cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  12. 12.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 50 sq cm (c) 100 sq cm (d) 25 sq cm
  13. 13.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 3 cm (c) 11 cm (d) 2 cm
  14. 14.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 105 sq cm (c) 42 sq cm (d) 21 sq cm
  15. 15.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 154 sq cm (b) 168 sq cm (c) 50 sq cm (d) 25 sq cm
  16. 16.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 120 sq cm (c) 140 sq cm (d) 26 sq cm
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
  18. 18.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 4 cm (c) 30 cm (d) 5 cm
  19. 19.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
  20. 20.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 23 cm (c) 45 cm (d) 28 cm
  21. 21.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 136 cm (c) 18 cm (d) 9 cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  23. 23.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
  24. 24.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 64 cm (c) 36 cm (d) 40 cm
  25. 25.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 48 cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  27. 27.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 90 sq cm (c) 80 sq cm (d) 36 sq cm
  28. 28.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 46 sq cm (c) 90 sq cm (d) 23 sq cm
  29. 29.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 100 cm (d) 45 cm
  30. 30.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 162 cm (c) 45 cm (d) 54 cm
  31. 31.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 56 sq cm (c) 28 sq cm (d) 160 sq cm
  32. 32.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 88 cm (c) 10 cm (d) 9 cm
  33. 33.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 96 cm (c) 10 cm (d) 18 cm
  34. 34.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 160 cm (c) 18 cm (d) 9 cm
  35. 35.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 32 cm (c) 18 cm (d) 36 cm
  36. 36.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 12 cm (c) 176 cm (d) 13 cm
  37. 37.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
  38. 38.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  39. 39.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 99 cm (c) 20 cm (d) 10 cm
  40. 40.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 21 cm (c) 4 cm (d) 5 cm

Answer key

  1. 81 sq cm
  2. 49 sq cm
  3. 9 cm
  4. 22 cm
  5. 2 cm
  6. 26 sq cm
  7. 8 cm
  8. 56 cm
  9. 121 sq cm
  10. 27 sq cm
  11. 100 sq cm
  12. 100 sq cm
  13. 2 cm
  14. 90 sq cm
  15. 154 sq cm
  16. 120 sq cm
  17. 64 sq cm
  18. 4 cm
  19. 24 sq cm
  20. 28 cm
  21. 9 cm
  22. 144 sq cm
  23. 225 sq cm
  24. 40 cm
  25. 5 cm
  26. 25 sq cm
  27. 80 sq cm
  28. 90 sq cm
  29. 50 cm
  30. 54 cm
  31. 160 sq cm
  32. 9 cm
  33. 9 cm
  34. 9 cm
  35. 36 cm
  36. 12 cm
  37. 56 sq cm
  38. 169 sq cm
  39. 10 cm
  40. 4 cm

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