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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 261 · 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 has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 40 cm (c) 6 cm (d) 10 cm
  2. 2.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 23 cm (c) 56 cm (d) 30 cm
  3. 3.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  4. 4.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 60 cm (c) 50 cm (d) 30 cm
  5. 5.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 48 sq cm (d) 13 sq cm
  6. 6.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 48 cm (b) 37 cm (c) 143 cm (d) 24 cm
  7. 7.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 44 sq cm (b) 85 sq cm (c) 102 sq cm (d) 22 sq cm
  8. 8.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 63 sq cm (d) 54 sq cm
  9. 9.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 38 sq cm (c) 100 sq cm (d) 19 sq cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
  11. 11.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 32 cm (d) 16 cm
  12. 12.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
  13. 13.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 26 sq cm (d) 36 sq cm
  14. 14.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
  15. 15.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
  17. 17.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 7 cm (c) 108 cm (d) 14 cm
  18. 18.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 39 cm (c) 5 cm (d) 4 cm
  19. 19.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 15 sq cm (c) 30 sq cm (d) 64 sq cm
  20. 20.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 21 cm (d) 20 cm
  21. 21.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 18 sq cm (c) 77 sq cm (d) 36 sq cm
  22. 22.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  23. 23.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
  24. 24.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 165 cm (c) 41 cm (d) 52 cm
  25. 25.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  26. 26.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 108 cm
  27. 27.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
  28. 28.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 40 cm (c) 150 cm (d) 25 cm
  29. 29.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
  30. 30.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
  31. 31.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 80 cm (c) 36 cm (d) 28 cm
  32. 32.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 14 cm (c) 48 cm (d) 28 cm
  33. 33.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
  34. 34.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 117 cm (d) 10 cm
  35. 35.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 209 cm (d) 12 cm
  36. 36.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 102 sq cm (d) 119 sq cm
  37. 37.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 8 cm (c) 14 cm (d) 7 cm
  38. 38.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 45 cm
  39. 39.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 66 sq cm (d) 34 sq cm
  40. 40.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 18 cm (b) 10 cm (c) 120 cm (d) 9 cm

Answer key

  1. 5 cm
  2. 30 cm
  3. 196 sq cm
  4. 60 cm
  5. 40 sq cm
  6. 48 cm
  7. 85 sq cm
  8. 54 sq cm
  9. 90 sq cm
  10. 81 sq cm
  11. 32 cm
  12. 100 sq cm
  13. 36 sq cm
  14. 143 sq cm
  15. 225 sq cm
  16. 36 sq cm
  17. 7 cm
  18. 4 cm
  19. 56 sq cm
  20. 20 cm
  21. 77 sq cm
  22. 49 sq cm
  23. 20 sq cm
  24. 52 cm
  25. 144 sq cm
  26. 10 cm
  27. 169 sq cm
  28. 50 cm
  29. 32 sq cm
  30. 121 sq cm
  31. 36 cm
  32. 28 cm
  33. 64 sq cm
  34. 10 cm
  35. 12 cm
  36. 102 sq cm
  37. 7 cm
  38. 6 cm
  39. 66 sq cm
  40. 9 cm

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