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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 359 · 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 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 126 sq cm (d) 25 sq cm
  2. 2.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 48 cm
  3. 3.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 42 cm (b) 33 cm (c) 108 cm (d) 21 cm
  4. 4.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 26 cm (c) 13 cm (d) 42 cm
  5. 5.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 8 cm (c) 84 cm (d) 16 cm
  6. 6.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 5 cm (c) 45 cm (d) 4 cm
  7. 7.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 187 sq cm (b) 204 sq cm (c) 56 sq cm (d) 28 sq cm
  8. 8.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 28 sq cm (c) 14 sq cm (d) 33 sq cm
  9. 9.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 135 cm
  10. 10.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  11. 11.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 24 sq cm (d) 36 sq cm
  12. 12.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 20 cm (c) 6 cm (d) 4 cm
  13. 13.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 96 sq cm (d) 19 sq cm
  14. 14.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 9 cm (c) 2 cm (d) 4 cm
  15. 15.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 19 sq cm (c) 38 sq cm (d) 100 sq cm
  16. 16.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 100 cm (c) 50 cm (d) 25 cm
  17. 17.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 96 cm (c) 40 cm (d) 32 cm
  18. 18.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
  19. 19.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 119 sq cm (c) 48 sq cm (d) 136 sq cm
  20. 20.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 51 sq cm (c) 40 sq cm (d) 68 sq cm
  21. 21.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 5 cm (c) 6 cm (d) 10 cm
  22. 22.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 10 cm (c) 20 cm (d) 21 cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 10 cm (d) 24 cm
  24. 24.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 18 cm (c) 3 cm (d) 6 cm
  25. 25.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 22 cm (c) 180 cm (d) 12 cm
  26. 26.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 8 cm (c) 102 cm (d) 7 cm
  27. 27.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 150 cm
  28. 28.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
  29. 29.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 38 cm (d) 40 cm
  30. 30.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 68 sq cm (d) 42 sq cm
  31. 31.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 2 cm (b) 18 cm (c) 4 cm (d) 3 cm
  32. 32.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  33. 33.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 36 cm
  34. 34.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 112 sq cm (c) 21 sq cm (d) 98 sq cm
  35. 35.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 39 cm (c) 48 cm (d) 135 cm
  36. 36.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 16 cm (d) 12 cm
  37. 37.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
  38. 38.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 153 sq cm (d) 170 sq cm
  39. 39.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 24 cm (d) 11 cm
  40. 40.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 126 sq cm (d) 108 sq cm

Answer key

  1. 126 sq cm
  2. 7 cm
  3. 42 cm
  4. 26 cm
  5. 8 cm
  6. 4 cm
  7. 187 sq cm
  8. 33 sq cm
  9. 10 cm
  10. 64 sq cm
  11. 27 sq cm
  12. 3 cm
  13. 84 sq cm
  14. 2 cm
  15. 90 sq cm
  16. 50 cm
  17. 40 cm
  18. 196 sq cm
  19. 119 sq cm
  20. 51 sq cm
  21. 5 cm
  22. 20 cm
  23. 20 cm
  24. 3 cm
  25. 11 cm
  26. 7 cm
  27. 11 cm
  28. 36 sq cm
  29. 42 cm
  30. 68 sq cm
  31. 2 cm
  32. 49 sq cm
  33. 3 cm
  34. 98 sq cm
  35. 48 cm
  36. 16 cm
  37. 16 sq cm
  38. 153 sq cm
  39. 22 cm
  40. 108 sq cm

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