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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 100 · 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 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  2. 2.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 12 cm (c) 24 cm (d) 13 cm
  3. 3.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 55 cm (c) 16 cm (d) 32 cm
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
  5. 5.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 32 cm
  6. 6.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
  7. 7.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  9. 9.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 14 cm (c) 6 cm (d) 3 cm
  10. 10.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 45 sq cm (d) 54 sq cm
  11. 11.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 100 sq cm (d) 80 sq cm
  12. 12.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 180 cm
  13. 13.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
  14. 14.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 56 sq cm (c) 30 sq cm (d) 64 sq cm
  15. 15.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 6 cm (c) 64 cm (d) 5 cm
  16. 16.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 12 cm (c) 7 cm (d) 6 cm
  17. 17.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 38 cm (c) 48 cm (d) 24 cm
  18. 18.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 165 cm
  19. 19.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 13 sq cm (d) 48 sq cm
  20. 20.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 18 sq cm (c) 56 sq cm (d) 36 sq cm
  21. 21.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 66 sq cm (c) 34 sq cm (d) 17 sq cm
  22. 22.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 126 sq cm (c) 46 sq cm (d) 140 sq cm
  23. 23.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 48 cm (c) 44 cm (d) 24 cm
  24. 24.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 40 cm (c) 20 cm (d) 64 cm
  25. 25.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
  26. 26.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 17 cm (d) 20 cm
  27. 27.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 150 cm
  28. 28.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 52 sq cm (c) 26 sq cm (d) 182 sq cm
  29. 29.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 58 sq cm (c) 200 sq cm (d) 29 sq cm
  30. 30.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 220 sq cm (b) 31 sq cm (c) 240 sq cm (d) 62 sq cm
  31. 31.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 37 cm (b) 105 cm (c) 44 cm (d) 22 cm
  32. 32.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 119 cm (c) 41 cm (d) 48 cm
  33. 33.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
  34. 34.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 40 cm (c) 6 cm (d) 5 cm
  35. 35.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 30 sq cm (d) 15 sq cm
  36. 36.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 32 sq cm (d) 24 sq cm
  37. 37.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 140 sq cm (c) 26 sq cm (d) 120 sq cm
  38. 38.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 19 sq cm (c) 9 sq cm (d) 24 sq cm
  39. 39.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 28 cm (c) 56 cm (d) 47 cm
  40. 40.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 56 cm

Answer key

  1. 25 sq cm
  2. 12 cm
  3. 32 cm
  4. 81 sq cm
  5. 5 cm
  6. 225 sq cm
  7. 64 sq cm
  8. 36 sq cm
  9. 3 cm
  10. 45 sq cm
  11. 80 sq cm
  12. 11 cm
  13. 16 sq cm
  14. 56 sq cm
  15. 5 cm
  16. 6 cm
  17. 48 cm
  18. 12 cm
  19. 40 sq cm
  20. 56 sq cm
  21. 66 sq cm
  22. 126 sq cm
  23. 48 cm
  24. 40 cm
  25. 169 sq cm
  26. 20 cm
  27. 11 cm
  28. 168 sq cm
  29. 180 sq cm
  30. 220 sq cm
  31. 44 cm
  32. 48 cm
  33. 49 sq cm
  34. 5 cm
  35. 54 sq cm
  36. 32 sq cm
  37. 120 sq cm
  38. 18 sq cm
  39. 56 cm
  40. 5 cm

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