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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 385 · 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 rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 33 cm (c) 8 cm (d) 5 cm
  2. 2.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  3. 3.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 44 cm (c) 22 cm (d) 38 cm
  4. 4.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  5. 5.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 46 cm (c) 52 cm (d) 120 cm
  6. 6.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 35 sq cm (d) 11 sq cm
  7. 7.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 48 sq cm (c) 19 sq cm (d) 64 sq cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  9. 9.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 46 sq cm (c) 140 sq cm (d) 23 sq cm
  10. 10.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 20 cm (d) 21 cm
  11. 11.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 112 cm (b) 36 cm (c) 44 cm (d) 22 cm
  12. 12.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 54 cm (c) 140 cm (d) 27 cm
  13. 13.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 12 cm (d) 11 cm
  14. 14.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 22 cm (d) 11 cm
  15. 15.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 30 sq cm (d) 12 sq cm
  16. 16.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  17. 17.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  18. 18.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
  19. 19.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  20. 20.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 48 cm (d) 38 cm
  21. 21.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
  22. 22.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 24 cm (c) 187 cm (d) 12 cm
  23. 23.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 10 cm
  24. 24.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 143 cm (b) 24 cm (c) 37 cm (d) 48 cm
  25. 25.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 36 sq cm (d) 24 sq cm
  26. 26.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 8 cm (c) 4 cm (d) 5 cm
  27. 27.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 22 cm (d) 20 cm
  28. 28.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 24 cm (d) 10 cm
  29. 29.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 33 sq cm (c) 44 sq cm (d) 14 sq cm
  30. 30.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 54 cm (c) 176 cm (d) 27 cm
  31. 31.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 72 cm
  32. 32.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 96 cm (c) 20 cm (d) 40 cm
  33. 33.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 5 cm (c) 4 cm (d) 8 cm
  34. 34.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 30 sq cm
  35. 35.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 2 cm (c) 4 cm (d) 3 cm
  36. 36.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 144 cm (c) 52 cm (d) 44 cm
  37. 37.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 84 sq cm (c) 19 sq cm (d) 96 sq cm
  38. 38.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 7 cm (c) 108 cm (d) 8 cm
  39. 39.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 48 sq cm (d) 14 sq cm
  40. 40.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 88 sq cm (c) 77 sq cm (d) 18 sq cm

Answer key

  1. 4 cm
  2. 64 sq cm
  3. 44 cm
  4. 25 sq cm
  5. 52 cm
  6. 28 sq cm
  7. 48 sq cm
  8. 36 sq cm
  9. 126 sq cm
  10. 20 cm
  11. 44 cm
  12. 54 cm
  13. 11 cm
  14. 22 cm
  15. 20 sq cm
  16. 121 sq cm
  17. 169 sq cm
  18. 54 cm
  19. 81 sq cm
  20. 38 cm
  21. 12 sq cm
  22. 12 cm
  23. 2 cm
  24. 48 cm
  25. 27 sq cm
  26. 4 cm
  27. 22 cm
  28. 20 cm
  29. 33 sq cm
  30. 54 cm
  31. 5 cm
  32. 40 cm
  33. 4 cm
  34. 24 sq cm
  35. 2 cm
  36. 52 cm
  37. 84 sq cm
  38. 7 cm
  39. 48 sq cm
  40. 77 sq cm

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