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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 245 · 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 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 35 sq cm (c) 12 sq cm (d) 24 sq cm
  2. 2.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 18 cm (c) 160 cm (d) 10 cm
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  4. 4.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 27 sq cm (d) 36 sq cm
  5. 5.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 16 cm (d) 12 cm
  6. 6.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 41 cm (c) 46 cm (d) 90 cm
  7. 7.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
  8. 8.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 64 cm (c) 240 cm (d) 52 cm
  9. 9.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
  11. 11.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 85 cm (c) 12 cm (d) 6 cm
  12. 12.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 16 cm (d) 14 cm
  13. 13.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  14. 14.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 56 sq cm (c) 70 sq cm (d) 36 sq cm
  15. 15.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 28 cm (c) 15 cm (d) 26 cm
  16. 16.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 28 sq cm (d) 14 sq cm
  17. 17.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 72 cm (c) 30 cm (d) 36 cm
  18. 18.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 133 sq cm (c) 25 sq cm (d) 114 sq cm
  19. 19.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 34 cm
  20. 20.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 96 cm (d) 9 cm
  21. 21.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  22. 22.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 29 cm (c) 16 cm (d) 32 cm
  23. 23.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 200 sq cm (c) 30 sq cm (d) 220 sq cm
  24. 24.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 10 cm (c) 20 cm (d) 11 cm
  25. 25.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 16 cm (c) 6 cm (d) 3 cm
  26. 26.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 48 cm (b) 5 cm (c) 6 cm (d) 10 cm
  27. 27.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 65 sq cm (c) 36 sq cm (d) 78 sq cm
  28. 28.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 6 cm (c) 5 cm (d) 10 cm
  29. 29.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 38 cm (c) 120 cm (d) 23 cm
  30. 30.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 34 cm (b) 70 cm (c) 27 cm (d) 17 cm
  31. 31.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 65 sq cm (c) 34 sq cm (d) 52 sq cm
  32. 32.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 44 sq cm (c) 28 sq cm (d) 33 sq cm
  33. 33.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 20 sq cm (c) 24 sq cm (d) 30 sq cm
  34. 34.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 36 sq cm (c) 80 sq cm (d) 18 sq cm
  35. 35.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 16 sq cm (d) 8 sq cm
  36. 36.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 143 cm
  37. 37.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 24 sq cm (c) 143 sq cm (d) 48 sq cm
  38. 38.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 13 cm (d) 12 cm
  39. 39.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 176 sq cm (c) 52 sq cm (d) 26 sq cm
  40. 40.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 14 cm (c) 7 cm (d) 8 cm

Answer key

  1. 35 sq cm
  2. 9 cm
  3. 25 sq cm
  4. 27 sq cm
  5. 16 cm
  6. 46 cm
  7. 30 sq cm
  8. 64 cm
  9. 121 sq cm
  10. 81 sq cm
  11. 6 cm
  12. 18 cm
  13. 49 sq cm
  14. 56 sq cm
  15. 30 cm
  16. 24 sq cm
  17. 36 cm
  18. 114 sq cm
  19. 3 cm
  20. 9 cm
  21. 225 sq cm
  22. 32 cm
  23. 200 sq cm
  24. 10 cm
  25. 3 cm
  26. 5 cm
  27. 65 sq cm
  28. 5 cm
  29. 46 cm
  30. 34 cm
  31. 52 sq cm
  32. 33 sq cm
  33. 20 sq cm
  34. 80 sq cm
  35. 12 sq cm
  36. 12 cm
  37. 143 sq cm
  38. 12 cm
  39. 160 sq cm
  40. 7 cm

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