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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 519 · 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 3 cm wide. What is its area? (a) 72 sq cm (b) 54 sq cm (c) 42 sq cm (d) 21 sq cm
  2. 2.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 17 cm
  3. 3.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 24 cm
  4. 4.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 20 cm
  5. 5.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 44 cm (c) 54 cm (d) 170 cm
  6. 6.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 209 cm (d) 49 cm
  7. 7.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 34 sq cm (d) 81 sq cm
  8. 8.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 19 cm (c) 88 cm (d) 38 cm
  9. 9.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
  10. 10.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 26 cm (c) 6 cm (d) 4 cm
  11. 11.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 75 cm (d) 35 cm
  12. 12.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 55 cm
  13. 13.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 24 cm (c) 26 cm (d) 22 cm
  14. 14.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 34 sq cm (d) 51 sq cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  16. 16.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 32 cm (c) 63 cm (d) 16 cm
  17. 17.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  18. 18.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 15 sq cm (d) 48 sq cm
  19. 19.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  20. 20.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 40 cm
  21. 21.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 18 sq cm (d) 16 sq cm
  22. 22.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 11 cm (d) 10 cm
  23. 23.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 38 sq cm (c) 90 sq cm (d) 19 sq cm
  24. 24.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 30 sq cm (d) 36 sq cm
  25. 25.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 28 sq cm (c) 54 sq cm (d) 14 sq cm
  26. 26.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  27. 27.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 13 cm (d) 23 cm
  28. 28.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 12 cm (c) 13 cm (d) 24 cm
  29. 29.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 8 cm (c) 4 cm (d) 2 cm
  30. 30.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 48 cm (b) 30 cm (c) 216 cm (d) 60 cm
  31. 31.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 5 cm (c) 4 cm (d) 8 cm
  32. 32.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 153 cm (c) 11 cm (d) 10 cm
  33. 33.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 21 sq cm (c) 42 sq cm (d) 38 sq cm
  34. 34.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 50 cm (c) 30 cm (d) 25 cm
  35. 35.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 105 sq cm (c) 21 sq cm (d) 42 sq cm
  36. 36.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 76 sq cm (c) 95 sq cm (d) 23 sq cm
  37. 37.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 105 sq cm (d) 22 sq cm
  38. 38.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  39. 39.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 40 cm (d) 24 cm
  40. 40.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 52 cm (c) 17 cm (d) 34 cm

Answer key

  1. 54 sq cm
  2. 2 cm
  3. 5 cm
  4. 2 cm
  5. 54 cm
  6. 60 cm
  7. 72 sq cm
  8. 38 cm
  9. 144 sq cm
  10. 3 cm
  11. 40 cm
  12. 6 cm
  13. 26 cm
  14. 34 sq cm
  15. 100 sq cm
  16. 32 cm
  17. 25 sq cm
  18. 36 sq cm
  19. 49 sq cm
  20. 6 cm
  21. 12 sq cm
  22. 10 cm
  23. 90 sq cm
  24. 30 sq cm
  25. 45 sq cm
  26. 225 sq cm
  27. 26 cm
  28. 12 cm
  29. 2 cm
  30. 60 cm
  31. 4 cm
  32. 10 cm
  33. 38 sq cm
  34. 30 cm
  35. 90 sq cm
  36. 76 sq cm
  37. 105 sq cm
  38. 36 sq cm
  39. 28 cm
  40. 34 cm

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