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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 545 · 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 is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 34 sq cm (d) 72 sq cm
  2. 2.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 60 cm (c) 19 cm (d) 38 cm
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  4. 4.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
  5. 5.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 60 sq cm (b) 16 sq cm (c) 70 sq cm (d) 32 sq cm
  6. 6.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
  7. 7.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 24 cm (d) 54 cm
  8. 8.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 90 cm (d) 36 cm
  9. 9.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 23 cm (c) 30 cm (d) 26 cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  11. 11.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 187 cm
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  13. 13.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
  14. 14.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 117 sq cm (c) 104 sq cm (d) 21 sq cm
  15. 15.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 30 cm (c) 34 cm (d) 17 cm
  16. 16.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 36 cm (c) 18 cm (d) 77 cm
  17. 17.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 8 cm (c) 14 cm (d) 7 cm
  18. 18.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 19 sq cm (d) 9 sq cm
  19. 19.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 36 cm (c) 56 cm (d) 18 cm
  20. 20.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 85 cm (c) 22 cm (d) 39 cm
  21. 21.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 108 sq cm (d) 126 sq cm
  22. 22.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 84 cm (b) 16 cm (c) 9 cm (d) 8 cm
  23. 23.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
  24. 24.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 198 cm
  25. 25.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 12 cm (c) 140 cm (d) 11 cm
  26. 26.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 85 cm (c) 7 cm (d) 6 cm
  27. 27.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 39 sq cm (c) 52 sq cm (d) 32 sq cm
  28. 28.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 34 cm (c) 27 cm (d) 17 cm
  29. 29.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 180 cm
  30. 30.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 40 cm (d) 42 cm
  31. 31.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 120 sq cm (c) 46 sq cm (d) 23 sq cm
  32. 32.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 45 cm (c) 23 cm (d) 28 cm
  33. 33.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 3 cm (c) 6 cm (d) 4 cm
  34. 34.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
  35. 35.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  36. 36.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 3 cm (c) 4 cm (d) 2 cm
  37. 37.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 168 cm (c) 26 cm (d) 52 cm
  38. 38.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 3 cm (c) 36 cm (d) 4 cm
  39. 39.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
  40. 40.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 108 cm

Answer key

  1. 72 sq cm
  2. 38 cm
  3. 121 sq cm
  4. 12 sq cm
  5. 60 sq cm
  6. 225 sq cm
  7. 30 cm
  8. 42 cm
  9. 26 cm
  10. 81 sq cm
  11. 12 cm
  12. 196 sq cm
  13. 25 sq cm
  14. 104 sq cm
  15. 34 cm
  16. 36 cm
  17. 7 cm
  18. 18 sq cm
  19. 36 cm
  20. 44 cm
  21. 108 sq cm
  22. 8 cm
  23. 30 cm
  24. 12 cm
  25. 11 cm
  26. 6 cm
  27. 39 sq cm
  28. 34 cm
  29. 10 cm
  30. 44 cm
  31. 120 sq cm
  32. 28 cm
  33. 3 cm
  34. 16 cm
  35. 169 sq cm
  36. 2 cm
  37. 52 cm
  38. 3 cm
  39. 144 sq cm
  40. 7 cm

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