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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 145 · 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 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 24 cm
  2. 2.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 7 cm (c) 14 cm (d) 8 cm
  3. 3.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 38 cm (d) 96 cm
  4. 4.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 27 cm (c) 30 cm (d) 36 cm
  5. 5.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 80 cm
  6. 6.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 56 sq cm (d) 70 sq cm
  7. 7.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 24 sq cm (c) 48 sq cm (d) 100 sq cm
  8. 8.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 128 sq cm (c) 46 sq cm (d) 23 sq cm
  9. 9.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 88 cm (c) 10 cm (d) 18 cm
  10. 10.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 19 sq cm (b) 84 sq cm (c) 70 sq cm (d) 38 sq cm
  11. 11.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 50 cm (b) 41 cm (c) 25 cm (d) 144 cm
  12. 12.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 13 sq cm (d) 48 sq cm
  13. 13.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 22 cm (d) 20 cm
  14. 14.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 60 sq cm (c) 18 sq cm (d) 36 sq cm
  15. 15.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 12 cm (c) 6 cm (d) 7 cm
  16. 16.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 51 sq cm (d) 34 sq cm
  17. 17.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 38 cm (d) 68 cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 8 cm (d) 16 cm
  19. 19.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 108 sq cm (c) 20 sq cm (d) 40 sq cm
  20. 20.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  21. 21.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 48 cm (d) 28 cm
  22. 22.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 180 sq cm (c) 58 sq cm (d) 29 sq cm
  23. 23.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 49 sq cm (c) 42 sq cm (d) 26 sq cm
  24. 24.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 30 sq cm (c) 15 sq cm (d) 26 sq cm
  25. 25.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 27 sq cm (c) 54 sq cm (d) 140 sq cm
  26. 26.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 46 cm (c) 58 cm (d) 204 cm
  27. 27.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
  28. 28.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  29. 29.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 21 sq cm (c) 42 sq cm (d) 98 sq cm
  30. 30.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 24 cm (c) 12 cm (d) 13 cm
  31. 31.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 72 cm (c) 44 cm (d) 40 cm
  32. 32.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 170 sq cm (c) 153 sq cm (d) 52 sq cm
  33. 33.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  34. 34.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 154 sq cm (b) 48 sq cm (c) 140 sq cm (d) 24 sq cm
  35. 35.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 144 sq cm (d) 162 sq cm
  36. 36.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 18 sq cm (d) 19 sq cm
  37. 37.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 10 cm (c) 5 cm (d) 6 cm
  38. 38.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 30 sq cm
  39. 39.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 4 cm (c) 60 cm (d) 5 cm
  40. 40.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 100 sq cm (d) 18 sq cm

Answer key

  1. 20 cm
  2. 7 cm
  3. 44 cm
  4. 30 cm
  5. 5 cm
  6. 56 sq cm
  7. 80 sq cm
  8. 112 sq cm
  9. 9 cm
  10. 70 sq cm
  11. 50 cm
  12. 40 sq cm
  13. 24 cm
  14. 45 sq cm
  15. 6 cm
  16. 34 sq cm
  17. 42 cm
  18. 16 cm
  19. 96 sq cm
  20. 49 sq cm
  21. 32 cm
  22. 180 sq cm
  23. 42 sq cm
  24. 26 sq cm
  25. 140 sq cm
  26. 58 cm
  27. 14 sq cm
  28. 36 sq cm
  29. 98 sq cm
  30. 12 cm
  31. 44 cm
  32. 153 sq cm
  33. 121 sq cm
  34. 140 sq cm
  35. 144 sq cm
  36. 18 sq cm
  37. 5 cm
  38. 30 sq cm
  39. 4 cm
  40. 81 sq cm

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