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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 753 · 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 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 22 cm (d) 17 cm
  2. 2.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 10 cm (b) 6 cm (c) 3 cm (d) 4 cm
  3. 3.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 27 sq cm (c) 54 sq cm (d) 170 sq cm
  4. 4.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
  5. 5.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  6. 6.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  7. 7.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 84 cm (b) 34 cm (c) 20 cm (d) 40 cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  9. 9.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 45 sq cm (c) 14 sq cm (d) 28 sq cm
  10. 10.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 5 cm (c) 40 cm (d) 10 cm
  11. 11.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
  12. 12.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 51 sq cm (c) 19 sq cm (d) 38 sq cm
  13. 13.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 2 cm (c) 4 cm (d) 3 cm
  14. 14.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 187 cm
  15. 15.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
  16. 16.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 10 cm (d) 20 cm
  17. 17.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 117 cm
  18. 18.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 23 sq cm (c) 76 sq cm (d) 46 sq cm
  19. 19.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 6 cm (c) 100 cm (d) 12 cm
  20. 20.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 28 cm (d) 26 cm
  21. 21.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
  22. 22.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
  23. 23.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 56 sq cm (c) 34 sq cm (d) 17 sq cm
  24. 24.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 152 sq cm (c) 52 sq cm (d) 26 sq cm
  25. 25.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 32 cm (c) 34 cm (d) 17 cm
  26. 26.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
  27. 27.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 170 sq cm (b) 153 sq cm (c) 52 sq cm (d) 26 sq cm
  28. 28.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 28 sq cm (c) 16 sq cm (d) 42 sq cm
  29. 29.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 168 sq cm (c) 25 sq cm (d) 154 sq cm
  30. 30.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 16 cm (d) 18 cm
  31. 31.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 23 sq cm (c) 90 sq cm (d) 46 sq cm
  32. 32.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 30 sq cm (c) 56 sq cm (d) 15 sq cm
  33. 33.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 14 cm (c) 7 cm (d) 8 cm
  34. 34.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 65 cm (d) 31 cm
  35. 35.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 11 sq cm (d) 30 sq cm
  36. 36.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 5 cm (c) 57 cm (d) 4 cm
  37. 37.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 43 cm (b) 153 cm (c) 52 cm (d) 26 cm
  38. 38.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  39. 39.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 21 sq cm (c) 20 sq cm (d) 28 sq cm
  40. 40.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm

Answer key

  1. 22 cm
  2. 3 cm
  3. 170 sq cm
  4. 196 sq cm
  5. 225 sq cm
  6. 100 sq cm
  7. 40 cm
  8. 36 sq cm
  9. 45 sq cm
  10. 5 cm
  11. 49 sq cm
  12. 34 sq cm
  13. 2 cm
  14. 12 cm
  15. 24 sq cm
  16. 20 cm
  17. 10 cm
  18. 76 sq cm
  19. 6 cm
  20. 30 cm
  21. 55 sq cm
  22. 169 sq cm
  23. 42 sq cm
  24. 133 sq cm
  25. 34 cm
  26. 10 cm
  27. 153 sq cm
  28. 28 sq cm
  29. 154 sq cm
  30. 18 cm
  31. 90 sq cm
  32. 56 sq cm
  33. 7 cm
  34. 36 cm
  35. 30 sq cm
  36. 4 cm
  37. 52 cm
  38. 144 sq cm
  39. 21 sq cm
  40. 16 sq cm

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