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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 859 · 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 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 38 cm (c) 3 cm (d) 6 cm
  2. 2.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 30 sq cm
  3. 3.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  4. 4.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 13 cm (c) 24 cm (d) 12 cm
  5. 5.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  6. 6.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 18 cm (c) 4 cm (d) 3 cm
  7. 7.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  8. 8.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 3 cm (c) 4 cm (d) 2 cm
  9. 9.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 3 cm (c) 6 cm (d) 4 cm
  10. 10.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 48 sq cm
  11. 11.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 35 cm (c) 75 cm (d) 20 cm
  12. 12.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  13. 13.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
  14. 14.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 29 cm (c) 38 cm (d) 90 cm
  15. 15.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 21 cm (d) 17 cm
  16. 16.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 70 cm (c) 19 cm (d) 33 cm
  17. 17.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 46 cm (c) 23 cm (d) 36 cm
  18. 18.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 30 cm
  19. 19.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 18 cm (d) 16 cm
  20. 20.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 4 cm (c) 10 cm (d) 3 cm
  21. 21.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  22. 22.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 22 cm (d) 11 cm
  23. 23.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
  24. 24.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 108 cm
  25. 25.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 133 sq cm (c) 25 sq cm (d) 114 sq cm
  26. 26.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 187 cm (b) 28 cm (c) 45 cm (d) 56 cm
  27. 27.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 22 sq cm (c) 126 sq cm (d) 44 sq cm
  28. 28.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 36 sq cm (d) 24 sq cm
  29. 29.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 6 cm (c) 7 cm (d) 12 cm
  30. 30.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 112 cm (c) 9 cm (d) 8 cm
  31. 31.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 41 cm (d) 119 cm
  32. 32.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 38 cm (c) 30 cm (d) 19 cm
  33. 33.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 99 sq cm (c) 38 sq cm (d) 88 sq cm
  34. 34.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 38 sq cm (c) 42 sq cm (d) 57 sq cm
  35. 35.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 56 sq cm (c) 28 sq cm (d) 187 sq cm
  36. 36.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  37. 37.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 33 cm (c) 14 cm (d) 28 cm
  38. 38.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 154 cm
  39. 39.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 7 cm (c) 6 cm (d) 12 cm
  40. 40.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 100 sq cm (d) 120 sq cm

Answer key

  1. 3 cm
  2. 24 sq cm
  3. 36 sq cm
  4. 12 cm
  5. 128 sq cm
  6. 3 cm
  7. 49 sq cm
  8. 2 cm
  9. 3 cm
  10. 48 sq cm
  11. 40 cm
  12. 100 sq cm
  13. 64 sq cm
  14. 38 cm
  15. 20 cm
  16. 38 cm
  17. 46 cm
  18. 4 cm
  19. 18 cm
  20. 3 cm
  21. 196 sq cm
  22. 22 cm
  23. 121 sq cm
  24. 10 cm
  25. 114 sq cm
  26. 56 cm
  27. 112 sq cm
  28. 27 sq cm
  29. 6 cm
  30. 8 cm
  31. 48 cm
  32. 38 cm
  33. 88 sq cm
  34. 38 sq cm
  35. 187 sq cm
  36. 25 sq cm
  37. 28 cm
  38. 12 cm
  39. 6 cm
  40. 100 sq cm

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