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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 8 · 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) 33 cm (b) 4 cm (c) 5 cm (d) 8 cm
  2. 2.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 108 sq cm (d) 90 sq cm
  3. 3.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 4 cm (c) 12 cm (d) 2 cm
  4. 4.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
  5. 5.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  7. 7.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 23 cm (c) 46 cm (d) 120 cm
  8. 8.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 24 cm (d) 26 cm
  9. 9.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 70 cm (c) 19 cm (d) 33 cm
  10. 10.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 110 sq cm (d) 121 sq cm
  11. 11.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
  12. 12.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 18 sq cm (c) 90 sq cm (d) 36 sq cm
  13. 13.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 48 cm (c) 24 cm (d) 80 cm
  14. 14.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 28 sq cm (c) 187 sq cm (d) 56 sq cm
  15. 15.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 30 sq cm (d) 13 sq cm
  16. 16.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 3 cm (c) 6 cm (d) 4 cm
  17. 17.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 126 sq cm (d) 112 sq cm
  18. 18.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 11 sq cm (d) 18 sq cm
  19. 19.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 12 cm (c) 130 cm (d) 11 cm
  20. 20.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 10 cm (c) 20 cm (d) 11 cm
  21. 21.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 7 cm (c) 14 cm (d) 8 cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  23. 23.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 144 cm (b) 10 cm (c) 18 cm (d) 9 cm
  24. 24.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 46 cm (c) 152 cm (d) 54 cm
  25. 25.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 49 sq cm (d) 12 sq cm
  26. 26.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 30 sq cm (d) 11 sq cm
  27. 27.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 100 cm
  28. 28.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 38 sq cm (c) 57 sq cm (d) 42 sq cm
  29. 29.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 100 sq cm (c) 90 sq cm (d) 38 sq cm
  30. 30.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 35 cm (d) 12 cm
  31. 31.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 169 sq cm
  32. 32.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 95 sq cm (c) 48 sq cm (d) 114 sq cm
  33. 33.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 25 sq cm (d) 160 sq cm
  34. 34.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 26 cm (d) 42 cm
  35. 35.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 48 sq cm (c) 13 sq cm (d) 40 sq cm
  36. 36.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
  37. 37.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  38. 38.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 40 cm (c) 3 cm (d) 6 cm
  39. 39.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 10 cm (d) 9 cm
  40. 40.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 16 cm (c) 32 cm (d) 63 cm

Answer key

  1. 4 cm
  2. 90 sq cm
  3. 2 cm
  4. 64 sq cm
  5. 121 sq cm
  6. 169 sq cm
  7. 46 cm
  8. 26 cm
  9. 38 cm
  10. 110 sq cm
  11. 18 cm
  12. 80 sq cm
  13. 48 cm
  14. 187 sq cm
  15. 30 sq cm
  16. 3 cm
  17. 112 sq cm
  18. 18 sq cm
  19. 11 cm
  20. 10 cm
  21. 7 cm
  22. 25 sq cm
  23. 9 cm
  24. 54 cm
  25. 36 sq cm
  26. 30 sq cm
  27. 6 cm
  28. 38 sq cm
  29. 90 sq cm
  30. 24 cm
  31. 144 sq cm
  32. 95 sq cm
  33. 144 sq cm
  34. 26 cm
  35. 40 sq cm
  36. 45 sq cm
  37. 196 sq cm
  38. 3 cm
  39. 9 cm
  40. 32 cm

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