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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 18 · 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 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 10 cm (c) 6 cm (d) 4 cm
  2. 2.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
  3. 3.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 23 cm (c) 30 cm (d) 15 cm
  4. 4.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 130 cm (d) 36 cm
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
  6. 6.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 198 sq cm (d) 180 sq cm
  7. 7.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 17 cm
  8. 8.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 46 sq cm (c) 126 sq cm (d) 23 sq cm
  9. 9.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 33 cm (c) 45 cm (d) 18 cm
  10. 10.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 42 cm (c) 34 cm (d) 17 cm
  11. 11.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 36 sq cm (d) 22 sq cm
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  13. 13.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 144 sq cm (c) 132 sq cm (d) 46 sq cm
  14. 14.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
  15. 15.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 16 cm (d) 20 cm
  16. 16.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 42 cm (c) 46 cm (d) 23 cm
  17. 17.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 42 cm (c) 44 cm (d) 40 cm
  18. 18.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
  19. 19.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
  20. 20.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 15 sq cm (d) 30 sq cm
  21. 21.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 47 cm (c) 29 cm (d) 58 cm
  22. 22.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 26 sq cm (d) 13 sq cm
  23. 23.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 120 cm
  24. 24.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 21 cm (c) 39 cm (d) 42 cm
  25. 25.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 30 sq cm (d) 20 sq cm
  26. 26.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 45 sq cm (c) 30 sq cm (d) 17 sq cm
  27. 27.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 2 cm (c) 4 cm (d) 3 cm
  28. 28.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 19 cm (d) 9 cm
  29. 29.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
  30. 30.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
  31. 31.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 26 cm (c) 52 cm (d) 46 cm
  32. 32.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 144 cm (c) 18 cm (d) 9 cm
  33. 33.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 8 cm (c) 105 cm (d) 9 cm
  34. 34.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 65 sq cm (c) 78 sq cm (d) 36 sq cm
  35. 35.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 84 cm (b) 19 cm (c) 38 cm (d) 31 cm
  36. 36.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 8 cm (c) 7 cm (d) 14 cm
  37. 37.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 70 cm (c) 16 cm (d) 8 cm
  38. 38.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 10 cm (c) 5 cm (d) 6 cm
  39. 39.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
  40. 40.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 22 sq cm (d) 11 sq cm

Answer key

  1. 3 cm
  2. 100 sq cm
  3. 30 cm
  4. 46 cm
  5. 25 sq cm
  6. 180 sq cm
  7. 2 cm
  8. 126 sq cm
  9. 36 cm
  10. 34 cm
  11. 30 sq cm
  12. 225 sq cm
  13. 132 sq cm
  14. 36 sq cm
  15. 20 cm
  16. 46 cm
  17. 44 cm
  18. 22 cm
  19. 30 cm
  20. 54 sq cm
  21. 58 cm
  22. 42 sq cm
  23. 9 cm
  24. 42 cm
  25. 24 sq cm
  26. 30 sq cm
  27. 2 cm
  28. 18 cm
  29. 81 sq cm
  30. 12 sq cm
  31. 52 cm
  32. 9 cm
  33. 8 cm
  34. 65 sq cm
  35. 38 cm
  36. 7 cm
  37. 8 cm
  38. 5 cm
  39. 64 sq cm
  40. 28 sq cm

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