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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 549 · 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 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 11 sq cm (d) 22 sq cm
  2. 2.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 5 cm (c) 54 cm (d) 8 cm
  3. 3.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 119 cm (d) 41 cm
  4. 4.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 63 sq cm (d) 16 sq cm
  5. 5.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 54 cm (c) 180 cm (d) 27 cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  7. 7.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
  8. 8.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
  9. 9.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 54 cm (c) 15 cm (d) 30 cm
  10. 10.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 4 cm (c) 36 cm (d) 3 cm
  11. 11.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 6 cm (c) 3 cm (d) 4 cm
  12. 12.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 42 cm (d) 26 cm
  13. 13.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 108 cm (c) 20 cm (d) 10 cm
  14. 14.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 12 sq cm (d) 35 sq cm
  15. 15.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
  16. 16.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 23 cm (c) 39 cm (d) 46 cm
  17. 17.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 42 sq cm (c) 21 sq cm (d) 117 sq cm
  18. 18.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 6 cm (c) 56 cm (d) 10 cm
  19. 19.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
  20. 20.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  21. 21.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 90 cm (c) 19 cm (d) 38 cm
  22. 22.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 40 cm (c) 75 cm (d) 20 cm
  23. 23.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 18 cm (c) 45 cm (d) 36 cm
  24. 24.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 143 cm (c) 24 cm (d) 12 cm
  25. 25.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 14 cm (c) 28 cm (d) 22 cm
  26. 26.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 143 sq cm (c) 130 sq cm (d) 46 sq cm
  27. 27.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
  28. 28.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 6 cm (c) 3 cm (d) 4 cm
  29. 29.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 52 sq cm (c) 26 sq cm (d) 165 sq cm
  30. 30.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 56 sq cm (d) 42 sq cm
  31. 31.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 26 sq cm (c) 30 sq cm (d) 15 sq cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  33. 33.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 200 sq cm (c) 58 sq cm (d) 180 sq cm
  34. 34.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 8 cm (c) 5 cm (d) 4 cm
  35. 35.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) 22 cm (d) 180 cm
  36. 36.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 4 cm (c) 2 cm (d) 3 cm
  37. 37.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 35 cm (c) 19 cm (d) 24 cm
  38. 38.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 34 cm (c) 20 cm (d) 84 cm
  39. 39.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  40. 40.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 12 cm (d) 32 cm

Answer key

  1. 28 sq cm
  2. 4 cm
  3. 48 cm
  4. 63 sq cm
  5. 54 cm
  6. 196 sq cm
  7. 22 cm
  8. 24 cm
  9. 30 cm
  10. 3 cm
  11. 3 cm
  12. 26 cm
  13. 10 cm
  14. 35 sq cm
  15. 24 sq cm
  16. 46 cm
  17. 104 sq cm
  18. 5 cm
  19. 64 sq cm
  20. 25 sq cm
  21. 38 cm
  22. 40 cm
  23. 36 cm
  24. 12 cm
  25. 28 cm
  26. 130 sq cm
  27. 100 sq cm
  28. 3 cm
  29. 165 sq cm
  30. 42 sq cm
  31. 26 sq cm
  32. 225 sq cm
  33. 180 sq cm
  34. 4 cm
  35. 11 cm
  36. 2 cm
  37. 24 cm
  38. 40 cm
  39. 81 sq cm
  40. 24 cm

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