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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 888 · 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 square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
  2. 2.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
  3. 3.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 132 cm (b) 23 cm (c) 35 cm (d) 46 cm
  4. 4.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
  5. 5.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 66 sq cm (c) 17 sq cm (d) 77 sq cm
  6. 6.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 10 cm
  7. 7.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 64 cm (c) 36 cm (d) 40 cm
  8. 8.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 42 cm (d) 31 cm
  9. 9.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 48 sq cm (c) 13 sq cm (d) 26 sq cm
  10. 10.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 130 sq cm (c) 23 sq cm (d) 46 sq cm
  11. 11.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 8 cm (d) 12 cm
  12. 12.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 18 cm
  13. 13.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 30 sq cm (d) 11 sq cm
  14. 14.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 22 cm (c) 12 cm (d) 11 cm
  15. 15.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
  16. 16.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  17. 17.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 12 cm
  18. 18.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 45 cm (c) 23 cm (d) 28 cm
  19. 19.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 6 cm (c) 40 cm (d) 5 cm
  20. 20.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 80 sq cm (c) 18 sq cm (d) 36 sq cm
  21. 21.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  22. 22.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 51 cm (d) 37 cm
  23. 23.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 28 cm
  24. 24.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 165 cm
  25. 25.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 24 cm (d) 13 cm
  26. 26.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  27. 27.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  28. 28.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 90 cm (c) 14 cm (d) 7 cm
  29. 29.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 32 cm (c) 36 cm (d) 56 cm
  30. 30.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 9 cm (c) 112 cm (d) 8 cm
  31. 31.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 55 sq cm (c) 30 sq cm (d) 15 sq cm
  32. 32.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 198 sq cm (c) 216 sq cm (d) 29 sq cm
  33. 33.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 26 sq cm (b) 152 sq cm (c) 133 sq cm (d) 52 sq cm
  34. 34.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 12 cm (c) 7 cm (d) 6 cm
  35. 35.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 21 sq cm (d) 28 sq cm
  36. 36.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 156 cm (d) 38 cm
  37. 37.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 48 cm (b) 6 cm (c) 5 cm (d) 10 cm
  38. 38.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 19 sq cm (d) 9 sq cm
  39. 39.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 26 cm (c) 13 cm (d) 42 cm
  40. 40.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 51 sq cm (c) 19 sq cm (d) 34 sq cm

Answer key

  1. 81 sq cm
  2. 24 cm
  3. 46 cm
  4. 225 sq cm
  5. 66 sq cm
  6. 2 cm
  7. 40 cm
  8. 34 cm
  9. 40 sq cm
  10. 130 sq cm
  11. 16 cm
  12. 20 cm
  13. 30 sq cm
  14. 11 cm
  15. 196 sq cm
  16. 144 sq cm
  17. 2 cm
  18. 28 cm
  19. 5 cm
  20. 80 sq cm
  21. 64 sq cm
  22. 40 cm
  23. 22 cm
  24. 12 cm
  25. 26 cm
  26. 49 sq cm
  27. 121 sq cm
  28. 7 cm
  29. 36 cm
  30. 8 cm
  31. 44 sq cm
  32. 198 sq cm
  33. 133 sq cm
  34. 6 cm
  35. 21 sq cm
  36. 50 cm
  37. 5 cm
  38. 18 sq cm
  39. 26 cm
  40. 34 sq cm

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