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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 197 · 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 4 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 36 cm (d) 13 cm
  2. 2.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 20 sq cm (c) 30 sq cm (d) 24 sq cm
  3. 3.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 18 cm
  4. 4.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 24 sq cm (c) 100 sq cm (d) 48 sq cm
  5. 5.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 2 cm (c) 3 cm (d) 4 cm
  6. 6.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 10 sq cm (d) 16 sq cm
  7. 7.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 19 sq cm (b) 70 sq cm (c) 84 sq cm (d) 38 sq cm
  8. 8.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 104 cm (b) 21 cm (c) 34 cm (d) 42 cm
  9. 9.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 18 cm (d) 10 cm
  10. 10.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 77 cm
  11. 11.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  12. 12.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 160 sq cm (c) 56 sq cm (d) 180 sq cm
  13. 13.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 23 sq cm (c) 46 sq cm (d) 126 sq cm
  14. 14.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  16. 16.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  17. 17.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 60 sq cm (d) 75 sq cm
  18. 18.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 42 cm (d) 40 cm
  19. 19.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 162 cm
  20. 20.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 17 sq cm (c) 34 sq cm (d) 52 sq cm
  21. 21.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 42 sq cm (c) 21 sq cm (d) 90 sq cm
  22. 22.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 130 sq cm (c) 23 sq cm (d) 143 sq cm
  23. 23.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 187 cm
  24. 24.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 8 cm (c) 7 cm (d) 14 cm
  25. 25.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 8 cm (c) 4 cm (d) 5 cm
  26. 26.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 22 cm (d) 30 cm
  27. 27.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
  28. 28.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 7 cm
  29. 29.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 24 cm (c) 128 cm (d) 48 cm
  30. 30.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
  31. 31.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 162 sq cm (d) 144 sq cm
  32. 32.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 40 cm (c) 72 cm (d) 44 cm
  33. 33.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 99 cm (c) 40 cm (d) 31 cm
  34. 34.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 6 cm (c) 70 cm (d) 12 cm
  35. 35.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 12 cm (c) 165 cm (d) 13 cm
  36. 36.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 120 cm
  37. 37.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 16 cm (c) 14 cm (d) 18 cm
  38. 38.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 49 sq cm (d) 13 sq cm
  39. 39.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 28 sq cm (c) 14 sq cm (d) 50 sq cm
  40. 40.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 12 cm (c) 50 cm (d) 6 cm

Answer key

  1. 26 cm
  2. 20 sq cm
  3. 4 cm
  4. 80 sq cm
  5. 2 cm
  6. 16 sq cm
  7. 70 sq cm
  8. 42 cm
  9. 20 cm
  10. 8 cm
  11. 36 sq cm
  12. 160 sq cm
  13. 126 sq cm
  14. 81 sq cm
  15. 100 sq cm
  16. 225 sq cm
  17. 60 sq cm
  18. 42 cm
  19. 10 cm
  20. 52 sq cm
  21. 90 sq cm
  22. 130 sq cm
  23. 12 cm
  24. 7 cm
  25. 4 cm
  26. 22 cm
  27. 44 cm
  28. 2 cm
  29. 48 cm
  30. 121 sq cm
  31. 144 sq cm
  32. 44 cm
  33. 40 cm
  34. 6 cm
  35. 12 cm
  36. 9 cm
  37. 18 cm
  38. 42 sq cm
  39. 40 sq cm
  40. 6 cm

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