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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 845 · 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 14 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 16 sq cm (c) 42 sq cm (d) 32 sq cm
  2. 2.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  4. 4.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 8 sq cm (d) 12 sq cm
  5. 5.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 128 sq cm (c) 112 sq cm (d) 46 sq cm
  6. 6.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
  7. 7.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 5 cm
  8. 8.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 11 cm (d) 20 cm
  9. 9.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 104 cm (c) 18 cm (d) 10 cm
  10. 10.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 247 sq cm (c) 228 sq cm (d) 62 sq cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  12. 12.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  13. 13.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 10 cm (c) 6 cm (d) 5 cm
  14. 14.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 38 cm (c) 22 cm (d) 96 cm
  15. 15.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 234 sq cm (c) 30 sq cm (d) 216 sq cm
  16. 16.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 8 cm (c) 105 cm (d) 16 cm
  17. 17.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  18. 18.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 33 cm (b) 21 cm (c) 42 cm (d) 108 cm
  19. 19.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 72 cm
  20. 20.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 12 cm (d) 11 cm
  21. 21.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  22. 22.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
  23. 23.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 3 cm (c) 4 cm (d) 2 cm
  24. 24.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 20 sq cm (c) 40 sq cm (d) 51 sq cm
  25. 25.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 108 sq cm (c) 96 sq cm (d) 40 sq cm
  26. 26.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 29 cm (c) 58 cm (d) 180 cm
  27. 27.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
  28. 28.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 48 cm
  29. 29.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 72 cm (c) 6 cm (d) 5 cm
  30. 30.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 48 cm (b) 30 cm (c) 60 cm (d) 216 cm
  31. 31.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 6 cm (c) 4 cm (d) 3 cm
  32. 32.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 27 sq cm (d) 18 sq cm
  33. 33.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 23 sq cm (c) 46 sq cm (d) 130 sq cm
  34. 34.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 5 cm (c) 52 cm (d) 10 cm
  35. 35.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 16 cm (d) 18 cm
  36. 36.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 13 sq cm (c) 36 sq cm (d) 26 sq cm
  37. 37.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  38. 38.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 70 cm (c) 8 cm (d) 9 cm
  39. 39.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 90 sq cm (c) 21 sq cm (d) 105 sq cm
  40. 40.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 60 cm (c) 32 cm (d) 26 cm

Answer key

  1. 28 sq cm
  2. 36 sq cm
  3. 225 sq cm
  4. 12 sq cm
  5. 112 sq cm
  6. 27 sq cm
  7. 2 cm
  8. 22 cm
  9. 9 cm
  10. 228 sq cm
  11. 49 sq cm
  12. 81 sq cm
  13. 5 cm
  14. 44 cm
  15. 216 sq cm
  16. 8 cm
  17. 25 sq cm
  18. 42 cm
  19. 7 cm
  20. 11 cm
  21. 100 sq cm
  22. 196 sq cm
  23. 2 cm
  24. 51 sq cm
  25. 96 sq cm
  26. 58 cm
  27. 64 sq cm
  28. 5 cm
  29. 5 cm
  30. 60 cm
  31. 3 cm
  32. 18 sq cm
  33. 130 sq cm
  34. 5 cm
  35. 18 cm
  36. 36 sq cm
  37. 169 sq cm
  38. 8 cm
  39. 90 sq cm
  40. 32 cm

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