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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 733 · 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 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
  2. 2.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 2 cm (c) 10 cm (d) 3 cm
  3. 3.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 5 cm (c) 8 cm (d) 4 cm
  4. 4.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 100 cm (c) 25 cm (d) 45 cm
  5. 5.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 57 sq cm (d) 38 sq cm
  6. 6.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  7. 7.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 88 sq cm (d) 99 sq cm
  8. 8.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 150 sq cm (b) 50 sq cm (c) 165 sq cm (d) 25 sq cm
  9. 9.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 23 cm (d) 13 cm
  10. 10.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 70 sq cm (c) 19 sq cm (d) 84 sq cm
  11. 11.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
  12. 12.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 8 cm (c) 57 cm (d) 4 cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
  14. 14.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 80 cm (d) 36 cm
  15. 15.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 37 cm (b) 48 cm (c) 143 cm (d) 24 cm
  16. 16.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 11 cm (d) 18 cm
  17. 17.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 13 cm
  18. 18.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  19. 19.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 17 cm (c) 34 cm (d) 26 cm
  20. 20.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 195 sq cm (d) 27 sq cm
  21. 21.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 4 cm (c) 2 cm (d) 3 cm
  22. 22.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 22 cm (c) 11 cm (d) 12 cm
  23. 23.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 42 cm (c) 13 cm (d) 26 cm
  24. 24.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  25. 25.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 8 cm (c) 14 cm (d) 7 cm
  26. 26.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 88 sq cm (c) 36 sq cm (d) 77 sq cm
  27. 27.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 120 sq cm (c) 21 sq cm (d) 42 sq cm
  28. 28.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 13 cm (c) 40 cm (d) 26 cm
  29. 29.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
  30. 30.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 30 sq cm (d) 22 sq cm
  31. 31.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  32. 32.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  33. 33.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 26 sq cm (c) 15 sq cm (d) 30 sq cm
  34. 34.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 16 sq cm
  35. 35.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 3 cm (c) 4 cm (d) 2 cm
  36. 36.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 5 cm (c) 6 cm (d) 10 cm
  37. 37.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 28 cm
  38. 38.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 15 cm (d) 25 cm
  39. 39.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 14 sq cm (c) 45 sq cm (d) 28 sq cm
  40. 40.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 81 sq cm (c) 17 sq cm (d) 34 sq cm

Answer key

  1. 100 sq cm
  2. 2 cm
  3. 4 cm
  4. 50 cm
  5. 38 sq cm
  6. 121 sq cm
  7. 88 sq cm
  8. 150 sq cm
  9. 26 cm
  10. 70 sq cm
  11. 81 sq cm
  12. 4 cm
  13. 196 sq cm
  14. 36 cm
  15. 48 cm
  16. 22 cm
  17. 2 cm
  18. 225 sq cm
  19. 34 cm
  20. 180 sq cm
  21. 2 cm
  22. 11 cm
  23. 26 cm
  24. 64 sq cm
  25. 7 cm
  26. 77 sq cm
  27. 108 sq cm
  28. 26 cm
  29. 49 sq cm
  30. 30 sq cm
  31. 36 sq cm
  32. 169 sq cm
  33. 26 sq cm
  34. 16 sq cm
  35. 2 cm
  36. 5 cm
  37. 3 cm
  38. 30 cm
  39. 45 sq cm
  40. 72 sq cm

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