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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 756 · 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 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 144 cm (c) 11 cm (d) 10 cm
  2. 2.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 30 cm (c) 52 cm (d) 17 cm
  3. 3.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 30 sq cm (d) 40 sq cm
  4. 4.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 8 cm (c) 4 cm (d) 3 cm
  5. 5.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 42 sq cm (c) 21 sq cm (d) 108 sq cm
  6. 6.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 19 sq cm (d) 24 sq cm
  7. 7.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
  8. 8.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
  9. 9.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 140 sq cm (c) 120 sq cm (d) 52 sq cm
  10. 10.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 110 sq cm (c) 121 sq cm (d) 42 sq cm
  11. 11.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 204 cm (d) 46 cm
  12. 12.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  14. 14.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 66 sq cm (d) 55 sq cm
  15. 15.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 33 sq cm (c) 14 sq cm (d) 44 sq cm
  16. 16.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
  17. 17.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 29 cm (c) 90 cm (d) 38 cm
  18. 18.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 133 cm
  19. 19.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  20. 20.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 90 cm (d) 41 cm
  21. 21.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 12 cm (d) 11 cm
  22. 22.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 24 sq cm (d) 36 sq cm
  23. 23.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 26 sq cm (c) 39 sq cm (d) 30 sq cm
  24. 24.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 20 cm (c) 51 cm (d) 40 cm
  25. 25.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 100 sq cm (d) 90 sq cm
  26. 26.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 110 cm (b) 21 cm (c) 42 cm (d) 32 cm
  27. 27.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 13 cm (c) 2 cm (d) 4 cm
  28. 28.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 102 cm (c) 8 cm (d) 14 cm
  29. 29.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 41 cm (c) 165 cm (d) 52 cm
  30. 30.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 27 sq cm
  31. 31.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 38 cm (c) 19 cm (d) 36 cm
  32. 32.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 30 cm (c) 4 cm (d) 5 cm
  33. 33.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 5 cm (c) 54 cm (d) 8 cm
  34. 34.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 160 sq cm (d) 56 sq cm
  35. 35.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 75 sq cm (c) 19 sq cm (d) 38 sq cm
  36. 36.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 23 cm (c) 46 cm (d) 40 cm
  37. 37.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 63 cm
  38. 38.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 32 cm (d) 34 cm
  39. 39.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 70 sq cm (c) 60 sq cm (d) 32 sq cm
  40. 40.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 95 cm

Answer key

  1. 10 cm
  2. 34 cm
  3. 30 sq cm
  4. 3 cm
  5. 108 sq cm
  6. 18 sq cm
  7. 81 sq cm
  8. 100 sq cm
  9. 120 sq cm
  10. 110 sq cm
  11. 58 cm
  12. 169 sq cm
  13. 196 sq cm
  14. 55 sq cm
  15. 33 sq cm
  16. 24 sq cm
  17. 38 cm
  18. 8 cm
  19. 144 sq cm
  20. 46 cm
  21. 11 cm
  22. 24 sq cm
  23. 26 sq cm
  24. 40 cm
  25. 90 sq cm
  26. 42 cm
  27. 2 cm
  28. 7 cm
  29. 52 cm
  30. 27 sq cm
  31. 38 cm
  32. 4 cm
  33. 4 cm
  34. 160 sq cm
  35. 60 sq cm
  36. 46 cm
  37. 8 cm
  38. 36 cm
  39. 60 sq cm
  40. 6 cm

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