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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 605 · 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 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 37 cm (c) 44 cm (d) 22 cm
  2. 2.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 16 cm (c) 105 cm (d) 9 cm
  3. 3.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 12 sq cm (d) 18 sq cm
  4. 4.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 24 cm (d) 12 cm
  5. 5.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  6. 6.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 13 cm (c) 24 cm (d) 12 cm
  7. 7.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 20 cm (c) 17 cm (d) 10 cm
  8. 8.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 119 sq cm (c) 102 sq cm (d) 46 sq cm
  9. 9.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 180 sq cm (c) 54 sq cm (d) 162 sq cm
  10. 10.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 33 sq cm (c) 13 sq cm (d) 26 sq cm
  11. 11.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 24 sq cm (d) 12 sq cm
  12. 12.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 54 sq cm (d) 72 sq cm
  13. 13.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 11 cm (c) 108 cm (d) 10 cm
  14. 14.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
  15. 15.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 126 sq cm (b) 25 sq cm (c) 144 sq cm (d) 50 sq cm
  16. 16.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 37 cm (b) 24 cm (c) 143 cm (d) 48 cm
  17. 17.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 28 cm (c) 14 cm (d) 40 cm
  18. 18.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 60 sq cm (d) 18 sq cm
  19. 19.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 18 sq cm (d) 9 sq cm
  20. 20.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 12 cm (c) 120 cm (d) 11 cm
  21. 21.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 72 sq cm (b) 36 sq cm (c) 84 sq cm (d) 18 sq cm
  22. 22.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 60 cm
  23. 23.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 68 sq cm (c) 51 sq cm (d) 40 sq cm
  24. 24.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 45 sq cm (c) 54 sq cm (d) 14 sq cm
  25. 25.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 13 cm (d) 26 cm
  26. 26.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 5 cm (c) 4 cm (d) 8 cm
  27. 27.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 180 sq cm (b) 54 sq cm (c) 27 sq cm (d) 195 sq cm
  28. 28.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
  29. 29.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 112 cm
  30. 30.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 16 cm (c) 84 cm (d) 8 cm
  31. 31.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 52 cm (c) 64 cm (d) 240 cm
  32. 32.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 36 sq cm (c) 20 sq cm (d) 40 sq cm
  33. 33.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 48 cm (c) 6 cm (d) 10 cm
  34. 34.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 15 cm (c) 44 cm (d) 30 cm
  35. 35.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 34 cm (c) 72 cm (d) 17 cm
  36. 36.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  37. 37.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  38. 38.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 34 cm (d) 60 cm
  39. 39.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 112 sq cm (c) 46 sq cm (d) 128 sq cm
  40. 40.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 204 sq cm (b) 221 sq cm (c) 29 sq cm (d) 58 sq cm

Answer key

  1. 44 cm
  2. 8 cm
  3. 12 sq cm
  4. 24 cm
  5. 49 sq cm
  6. 12 cm
  7. 20 cm
  8. 102 sq cm
  9. 162 sq cm
  10. 22 sq cm
  11. 20 sq cm
  12. 54 sq cm
  13. 10 cm
  14. 22 cm
  15. 126 sq cm
  16. 48 cm
  17. 28 cm
  18. 45 sq cm
  19. 18 sq cm
  20. 11 cm
  21. 72 sq cm
  22. 4 cm
  23. 51 sq cm
  24. 45 sq cm
  25. 26 cm
  26. 4 cm
  27. 180 sq cm
  28. 225 sq cm
  29. 9 cm
  30. 8 cm
  31. 64 cm
  32. 36 sq cm
  33. 5 cm
  34. 30 cm
  35. 34 cm
  36. 64 sq cm
  37. 25 sq cm
  38. 38 cm
  39. 112 sq cm
  40. 204 sq cm

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