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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 282 · 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 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  2. 2.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) 48 cm (d) 14 cm
  3. 3.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 2 cm
  4. 4.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 25 sq cm (c) 156 sq cm (d) 50 sq cm
  5. 5.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 36 sq cm (c) 70 sq cm (d) 18 sq cm
  6. 6.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 66 sq cm (c) 32 sq cm (d) 16 sq cm
  7. 7.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 96 sq cm (c) 44 sq cm (d) 22 sq cm
  8. 8.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 120 sq cm (c) 25 sq cm (d) 100 sq cm
  9. 9.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 17 cm (d) 22 cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  11. 11.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 30 cm (d) 15 cm
  12. 12.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 150 sq cm (d) 165 sq cm
  13. 13.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 5 cm (c) 3 cm (d) 4 cm
  14. 14.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 234 sq cm (d) 216 sq cm
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
  16. 16.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 10 cm (c) 108 cm (d) 11 cm
  17. 17.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
  18. 18.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 40 cm (c) 20 cm (d) 31 cm
  19. 19.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 19 sq cm (c) 70 sq cm (d) 38 sq cm
  20. 20.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  21. 21.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 96 cm (d) 40 cm
  22. 22.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 42 cm (c) 68 cm (d) 21 cm
  23. 23.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 57 sq cm (c) 38 sq cm (d) 21 sq cm
  24. 24.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) 2 cm (d) 4 cm
  25. 25.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 40 cm (c) 6 cm (d) 12 cm
  26. 26.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 152 sq cm (c) 26 sq cm (d) 133 sq cm
  27. 27.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 32 cm (c) 16 cm (d) 48 cm
  28. 28.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  29. 29.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 16 sq cm (d) 10 sq cm
  30. 30.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 9 sq cm (c) 18 sq cm (d) 14 sq cm
  31. 31.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) 10 cm (d) 144 cm
  32. 32.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 154 cm
  33. 33.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
  34. 34.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 36 cm (c) 72 cm (d) 18 cm
  35. 35.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 6 cm (c) 34 cm (d) 3 cm
  36. 36.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 10 cm (c) 28 cm (d) 5 cm
  37. 37.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 3 cm (c) 2 cm (d) 4 cm
  38. 38.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  39. 39.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 90 cm
  40. 40.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 14 sq cm (d) 48 sq cm

Answer key

  1. 36 sq cm
  2. 7 cm
  3. 2 cm
  4. 156 sq cm
  5. 56 sq cm
  6. 55 sq cm
  7. 96 sq cm
  8. 100 sq cm
  9. 22 cm
  10. 81 sq cm
  11. 30 cm
  12. 150 sq cm
  13. 2 cm
  14. 216 sq cm
  15. 49 sq cm
  16. 10 cm
  17. 64 sq cm
  18. 40 cm
  19. 70 sq cm
  20. 196 sq cm
  21. 40 cm
  22. 42 cm
  23. 38 sq cm
  24. 2 cm
  25. 6 cm
  26. 133 sq cm
  27. 32 cm
  28. 25 sq cm
  29. 16 sq cm
  30. 14 sq cm
  31. 9 cm
  32. 12 cm
  33. 16 cm
  34. 36 cm
  35. 3 cm
  36. 5 cm
  37. 2 cm
  38. 169 sq cm
  39. 7 cm
  40. 48 sq cm

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