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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 431 · 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 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  2. 2.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 96 cm (d) 32 cm
  3. 3.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 8 cm (c) 5 cm (d) 4 cm
  4. 4.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 30 sq cm (c) 17 sq cm (d) 34 sq cm
  5. 5.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 12 cm (d) 3 cm
  6. 6.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  7. 7.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
  8. 8.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 6 cm (c) 28 cm (d) 10 cm
  9. 9.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 8 cm (c) 54 cm (d) 14 cm
  10. 10.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 15 sq cm (c) 50 sq cm (d) 30 sq cm
  11. 11.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 126 sq cm (b) 108 sq cm (c) 24 sq cm (d) 48 sq cm
  12. 12.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 6 cm (c) 12 cm (d) 7 cm
  13. 13.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 99 cm (c) 31 cm (d) 40 cm
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  15. 15.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 22 cm (d) 48 cm
  16. 16.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 10 cm (c) 6 cm (d) 5 cm
  17. 17.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 22 sq cm (b) 130 sq cm (c) 44 sq cm (d) 117 sq cm
  18. 18.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 200 cm
  19. 19.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 37 cm (b) 24 cm (c) 48 cm (d) 143 cm
  20. 20.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
  21. 21.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 26 sq cm (d) 39 sq cm
  22. 22.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 132 sq cm (d) 22 sq cm
  23. 23.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 11 cm (c) 20 cm (d) 10 cm
  24. 24.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 14 cm (d) 28 cm
  25. 25.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 55 cm (c) 7 cm (d) 12 cm
  26. 26.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 16 cm (c) 9 cm (d) 8 cm
  27. 27.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 60 sq cm (c) 38 sq cm (d) 75 sq cm
  28. 28.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  29. 29.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 42 cm (d) 136 cm
  30. 30.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 102 sq cm (c) 85 sq cm (d) 44 sq cm
  31. 31.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 46 cm (c) 40 cm (d) 23 cm
  32. 32.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
  33. 33.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 42 cm (d) 38 cm
  34. 34.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  35. 35.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  36. 36.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  37. 37.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  38. 38.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 38 cm (c) 25 cm (d) 156 cm
  39. 39.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 36 cm (c) 21 cm (d) 90 cm
  40. 40.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 8 cm (c) 30 cm (d) 4 cm

Answer key

  1. 100 sq cm
  2. 40 cm
  3. 4 cm
  4. 30 sq cm
  5. 3 cm
  6. 25 sq cm
  7. 12 sq cm
  8. 5 cm
  9. 7 cm
  10. 50 sq cm
  11. 108 sq cm
  12. 6 cm
  13. 40 cm
  14. 64 sq cm
  15. 28 cm
  16. 5 cm
  17. 117 sq cm
  18. 11 cm
  19. 48 cm
  20. 30 sq cm
  21. 26 sq cm
  22. 120 sq cm
  23. 10 cm
  24. 28 cm
  25. 6 cm
  26. 8 cm
  27. 60 sq cm
  28. 144 sq cm
  29. 50 cm
  30. 85 sq cm
  31. 46 cm
  32. 49 sq cm
  33. 42 cm
  34. 121 sq cm
  35. 36 sq cm
  36. 225 sq cm
  37. 196 sq cm
  38. 50 cm
  39. 42 cm
  40. 4 cm

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