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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 791 · 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 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 40 sq cm (d) 12 sq cm
  2. 2.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 165 cm
  3. 3.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 196 sq cm (d) 26 sq cm
  4. 4.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 18 sq cm (c) 36 sq cm (d) 45 sq cm
  5. 5.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  6. 6.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
  7. 7.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 13 cm (d) 12 cm
  8. 8.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
  9. 9.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 27 cm (b) 176 cm (c) 54 cm (d) 43 cm
  10. 10.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 56 cm (c) 160 cm (d) 28 cm
  11. 11.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 30 sq cm
  12. 12.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 68 sq cm (c) 42 sq cm (d) 21 sq cm
  13. 13.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
  14. 14.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 42 sq cm (c) 16 sq cm (d) 32 sq cm
  15. 15.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 62 cm (b) 220 cm (c) 31 cm (d) 51 cm
  16. 16.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 30 sq cm (c) 13 sq cm (d) 26 sq cm
  17. 17.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 24 sq cm (d) 22 sq cm
  18. 18.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  19. 19.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 17 cm (d) 30 cm
  20. 20.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 22 sq cm (d) 30 sq cm
  21. 21.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 26 cm (d) 13 cm
  22. 22.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 24 sq cm (d) 12 sq cm
  23. 23.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  24. 24.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 96 sq cm (c) 84 sq cm (d) 19 sq cm
  25. 25.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
  26. 26.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
  27. 27.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  28. 28.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 46 cm (c) 126 cm (d) 23 cm
  29. 29.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 48 sq cm (c) 56 sq cm (d) 28 sq cm
  30. 30.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 16 cm (c) 32 cm (d) 29 cm
  31. 31.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 31 cm (c) 99 cm (d) 40 cm
  32. 32.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 22 sq cm (d) 11 sq cm
  33. 33.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 44 cm (d) 80 cm
  34. 34.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 18 cm (d) 20 cm
  35. 35.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 12 cm (c) 60 cm (d) 6 cm
  36. 36.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 90 sq cm (c) 36 sq cm (d) 18 sq cm
  37. 37.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 180 cm (c) 20 cm (d) 10 cm
  38. 38.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 104 cm
  39. 39.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 160 cm
  40. 40.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 24 cm (d) 12 cm

Answer key

  1. 32 sq cm
  2. 12 cm
  3. 169 sq cm
  4. 45 sq cm
  5. 81 sq cm
  6. 121 sq cm
  7. 12 cm
  8. 12 sq cm
  9. 54 cm
  10. 56 cm
  11. 24 sq cm
  12. 68 sq cm
  13. 25 sq cm
  14. 28 sq cm
  15. 62 cm
  16. 30 sq cm
  17. 24 sq cm
  18. 196 sq cm
  19. 22 cm
  20. 30 sq cm
  21. 26 cm
  22. 20 sq cm
  23. 36 sq cm
  24. 84 sq cm
  25. 225 sq cm
  26. 98 sq cm
  27. 49 sq cm
  28. 46 cm
  29. 48 sq cm
  30. 32 cm
  31. 40 cm
  32. 18 sq cm
  33. 48 cm
  34. 20 cm
  35. 6 cm
  36. 80 sq cm
  37. 10 cm
  38. 9 cm
  39. 9 cm
  40. 24 cm

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