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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 741 · 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 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 5 cm (d) 3 cm
  2. 2.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 26 cm (c) 16 cm (d) 60 cm
  3. 3.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 48 sq cm (c) 36 sq cm (d) 15 sq cm
  4. 4.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 104 cm
  5. 5.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 120 sq cm (c) 22 sq cm (d) 44 sq cm
  6. 6.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 21 cm (c) 8 cm (d) 5 cm
  7. 7.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
  8. 8.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  10. 10.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 220 cm
  11. 11.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 16 cm
  12. 12.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 50 sq cm (c) 15 sq cm (d) 30 sq cm
  13. 13.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 8 cm (c) 9 cm (d) 16 cm
  14. 14.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 30 sq cm (d) 13 sq cm
  15. 15.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 198 sq cm (c) 58 sq cm (d) 29 sq cm
  16. 16.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 200 cm (c) 30 cm (d) 60 cm
  17. 17.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  18. 18.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 168 sq cm (c) 154 sq cm (d) 25 sq cm
  19. 19.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 4 cm (c) 1 cm (d) 3 cm
  20. 20.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 140 cm (c) 11 cm (d) 22 cm
  21. 21.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 66 cm
  22. 22.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 54 sq cm (d) 63 sq cm
  23. 23.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 22 sq cm (d) 30 sq cm
  24. 24.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
  25. 25.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 31 cm (c) 38 cm (d) 84 cm
  26. 26.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 12 cm (c) 6 cm (d) 7 cm
  27. 27.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  28. 28.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 80 cm (b) 37 cm (c) 21 cm (d) 42 cm
  29. 29.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 12 cm (c) 24 cm (d) 19 cm
  30. 30.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 80 sq cm (c) 70 sq cm (d) 17 sq cm
  31. 31.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  32. 32.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 7 cm (c) 12 cm (d) 6 cm
  33. 33.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  34. 34.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 10 cm (d) 16 cm
  35. 35.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 180 cm (c) 20 cm (d) 11 cm
  36. 36.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
  37. 37.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 80 cm (c) 10 cm (d) 5 cm
  38. 38.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 156 cm (d) 38 cm
  39. 39.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 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. 2 cm
  2. 32 cm
  3. 36 sq cm
  4. 9 cm
  5. 120 sq cm
  6. 4 cm
  7. 121 sq cm
  8. 24 sq cm
  9. 25 sq cm
  10. 12 cm
  11. 3 cm
  12. 50 sq cm
  13. 8 cm
  14. 30 sq cm
  15. 198 sq cm
  16. 60 cm
  17. 49 sq cm
  18. 154 sq cm
  19. 2 cm
  20. 11 cm
  21. 7 cm
  22. 54 sq cm
  23. 30 sq cm
  24. 144 sq cm
  25. 38 cm
  26. 6 cm
  27. 36 sq cm
  28. 42 cm
  29. 24 cm
  30. 70 sq cm
  31. 81 sq cm
  32. 6 cm
  33. 64 sq cm
  34. 20 cm
  35. 10 cm
  36. 169 sq cm
  37. 5 cm
  38. 50 cm
  39. 12 sq cm
  40. 9 cm

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