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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 825 · 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 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 48 sq cm (d) 26 sq cm
  2. 2.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 22 cm
  3. 3.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 3 cm (c) 4 cm (d) 2 cm
  4. 4.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 22 cm (c) 11 cm (d) 12 cm
  5. 5.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 24 cm (c) 13 cm (d) 12 cm
  6. 6.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
  7. 7.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 42 sq cm (d) 13 sq cm
  8. 8.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 26 sq cm (c) 152 sq cm (d) 52 sq cm
  9. 9.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 3 cm (c) 2 cm (d) 4 cm
  10. 10.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 38 cm (c) 24 cm (d) 48 cm
  11. 11.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 110 cm (b) 32 cm (c) 21 cm (d) 42 cm
  12. 12.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 7 cm (c) 75 cm (d) 12 cm
  13. 13.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 32 sq cm (d) 70 sq cm
  14. 14.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 39 cm (c) 85 cm (d) 44 cm
  15. 15.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 63 sq cm (c) 16 sq cm (d) 32 sq cm
  16. 16.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  17. 17.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  18. 18.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 7 cm (c) 3 cm (d) 4 cm
  19. 19.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 39 cm (b) 46 cm (c) 23 cm (d) 112 cm
  20. 20.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  21. 21.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  22. 22.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 90 sq cm (d) 80 sq cm
  23. 23.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 88 sq cm (d) 77 sq cm
  24. 24.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 60 sq cm (d) 45 sq cm
  25. 25.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 26 cm (d) 13 cm
  26. 26.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 24 cm (d) 15 cm
  27. 27.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  28. 28.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 18 cm (d) 22 cm
  29. 29.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 1 cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 9 sq cm (d) 19 sq cm
  31. 31.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 19 cm (d) 15 cm
  32. 32.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 36 sq cm (c) 20 sq cm (d) 40 sq cm
  33. 33.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 84 sq cm (c) 36 sq cm (d) 72 sq cm
  34. 34.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 11 cm (c) 180 cm (d) 22 cm
  35. 35.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 80 sq cm (d) 60 sq cm
  36. 36.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
  37. 37.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 22 cm (d) 14 cm
  38. 38.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 16 sq cm (d) 12 sq cm
  39. 39.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 11 sq cm (d) 22 sq cm
  40. 40.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 4 cm (c) 33 cm (d) 8 cm

Answer key

  1. 40 sq cm
  2. 3 cm
  3. 2 cm
  4. 11 cm
  5. 12 cm
  6. 81 sq cm
  7. 42 sq cm
  8. 133 sq cm
  9. 2 cm
  10. 48 cm
  11. 42 cm
  12. 6 cm
  13. 60 sq cm
  14. 44 cm
  15. 63 sq cm
  16. 49 sq cm
  17. 100 sq cm
  18. 2 cm
  19. 46 cm
  20. 169 sq cm
  21. 144 sq cm
  22. 80 sq cm
  23. 77 sq cm
  24. 45 sq cm
  25. 26 cm
  26. 30 cm
  27. 36 sq cm
  28. 22 cm
  29. 2 cm
  30. 18 sq cm
  31. 18 cm
  32. 36 sq cm
  33. 72 sq cm
  34. 11 cm
  35. 60 sq cm
  36. 196 sq cm
  37. 28 cm
  38. 12 sq cm
  39. 30 sq cm
  40. 4 cm

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