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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 415 · 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) 11 sq cm (b) 35 sq cm (c) 22 sq cm (d) 28 sq cm
  2. 2.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 12 cm (b) 7 cm (c) 45 cm (d) 6 cm
  3. 3.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 120 cm
  4. 4.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 9 cm (d) 10 cm
  5. 5.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 18 cm (c) 9 cm (d) 10 cm
  6. 6.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  7. 7.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 60 sq cm (c) 44 sq cm (d) 40 sq cm
  8. 8.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
  9. 9.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 21 sq cm (d) 10 sq cm
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  11. 11.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 36 sq cm (c) 24 sq cm (d) 14 sq cm
  12. 12.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  13. 13.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 99 cm
  14. 14.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 144 cm (c) 11 cm (d) 20 cm
  15. 15.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 19 cm (c) 38 cm (d) 84 cm
  16. 16.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 13 sq cm (d) 26 sq cm
  17. 17.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 17 cm (d) 52 cm
  18. 18.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 16 cm (c) 105 cm (d) 8 cm
  19. 19.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 6 cm (c) 10 cm (d) 5 cm
  20. 20.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 36 cm (b) 8 cm (c) 5 cm (d) 4 cm
  21. 21.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
  22. 22.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  23. 23.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 48 cm (c) 24 cm (d) 38 cm
  24. 24.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 22 cm (c) 170 cm (d) 11 cm
  25. 25.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 91 cm
  26. 26.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 160 sq cm (c) 54 sq cm (d) 140 sq cm
  27. 27.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 9 cm (d) 18 cm
  28. 28.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 12 sq cm (d) 18 sq cm
  29. 29.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 12 cm (c) 55 cm (d) 7 cm
  30. 30.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 11 sq cm (d) 22 sq cm
  31. 31.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 40 cm (c) 20 cm (d) 37 cm
  32. 32.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 65 cm (c) 6 cm (d) 7 cm
  33. 33.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 114 cm
  34. 34.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 13 sq cm (d) 26 sq cm
  35. 35.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 63 sq cm (d) 72 sq cm
  36. 36.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 16 sq cm (d) 10 sq cm
  37. 37.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 50 cm (c) 39 cm (d) 25 cm
  38. 38.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 198 cm (c) 24 cm (d) 12 cm
  39. 39.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 44 cm (c) 56 cm (d) 192 cm
  40. 40.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 45 sq cm (d) 60 sq cm

Answer key

  1. 28 sq cm
  2. 6 cm
  3. 9 cm
  4. 9 cm
  5. 9 cm
  6. 100 sq cm
  7. 40 sq cm
  8. 196 sq cm
  9. 21 sq cm
  10. 225 sq cm
  11. 24 sq cm
  12. 25 sq cm
  13. 10 cm
  14. 10 cm
  15. 38 cm
  16. 42 sq cm
  17. 34 cm
  18. 8 cm
  19. 5 cm
  20. 4 cm
  21. 64 sq cm
  22. 81 sq cm
  23. 48 cm
  24. 11 cm
  25. 8 cm
  26. 140 sq cm
  27. 18 cm
  28. 12 sq cm
  29. 6 cm
  30. 18 sq cm
  31. 40 cm
  32. 6 cm
  33. 7 cm
  34. 36 sq cm
  35. 63 sq cm
  36. 16 sq cm
  37. 50 cm
  38. 12 cm
  39. 56 cm
  40. 45 sq cm

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