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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 71 · 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 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  2. 2.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 32 sq cm (c) 16 sq cm (d) 66 sq cm
  3. 3.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 180 cm
  4. 4.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 13 cm (d) 24 cm
  5. 5.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 63 sq cm (c) 32 sq cm (d) 16 sq cm
  6. 6.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 121 sq cm (d) 110 sq cm
  7. 7.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 15 cm
  8. 8.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
  9. 9.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 1 cm (c) 4 cm (d) 2 cm
  10. 10.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 10 cm (d) 9 cm
  11. 11.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 6 cm (c) 10 cm (d) 5 cm
  12. 12.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 42 cm (c) 26 cm (d) 13 cm
  13. 13.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  15. 15.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 21 sq cm (b) 80 sq cm (c) 42 sq cm (d) 96 sq cm
  16. 16.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
  17. 17.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  18. 18.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 13 sq cm (c) 26 sq cm (d) 22 sq cm
  19. 19.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 135 sq cm (c) 23 sq cm (d) 120 sq cm
  20. 20.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 27 cm (d) 21 cm
  21. 21.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  22. 22.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 90 sq cm (c) 40 sq cm (d) 75 sq cm
  23. 23.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 54 sq cm (c) 140 sq cm (d) 27 sq cm
  24. 24.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 143 cm (c) 37 cm (d) 48 cm
  25. 25.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 19 cm (c) 38 cm (d) 33 cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
  27. 27.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 43 cm (c) 126 cm (d) 50 cm
  28. 28.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 42 cm (d) 40 cm
  29. 29.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 9 cm (d) 19 cm
  30. 30.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  31. 31.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 170 cm (c) 22 cm (d) 12 cm
  32. 32.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 22 cm (c) 37 cm (d) 44 cm
  33. 33.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 50 sq cm (d) 30 sq cm
  34. 34.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 32 sq cm (d) 28 sq cm
  35. 35.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 90 cm (d) 29 cm
  36. 36.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 14 cm (c) 7 cm (d) 8 cm
  37. 37.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  38. 38.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 162 sq cm (d) 27 sq cm
  39. 39.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 108 sq cm (c) 120 sq cm (d) 42 sq cm
  40. 40.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 34 sq cm (d) 81 sq cm

Answer key

  1. 64 sq cm
  2. 55 sq cm
  3. 10 cm
  4. 26 cm
  5. 63 sq cm
  6. 110 sq cm
  7. 4 cm
  8. 20 sq cm
  9. 2 cm
  10. 9 cm
  11. 5 cm
  12. 26 cm
  13. 81 sq cm
  14. 36 sq cm
  15. 80 sq cm
  16. 16 cm
  17. 121 sq cm
  18. 22 sq cm
  19. 120 sq cm
  20. 24 cm
  21. 144 sq cm
  22. 75 sq cm
  23. 140 sq cm
  24. 48 cm
  25. 38 cm
  26. 25 sq cm
  27. 50 cm
  28. 44 cm
  29. 18 cm
  30. 100 sq cm
  31. 11 cm
  32. 44 cm
  33. 50 sq cm
  34. 28 sq cm
  35. 38 cm
  36. 7 cm
  37. 49 sq cm
  38. 162 sq cm
  39. 108 sq cm
  40. 72 sq cm

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