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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 143 · 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 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 140 cm
  2. 2.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 42 cm (c) 21 cm (d) 98 cm
  3. 3.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 42 cm (c) 23 cm (d) 46 cm
  4. 4.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 4 cm (c) 14 cm (d) 2 cm
  5. 5.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 21 cm (c) 42 cm (d) 80 cm
  6. 6.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 96 sq cm (d) 84 sq cm
  7. 7.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 36 sq cm (c) 72 sq cm (d) 18 sq cm
  8. 8.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 130 cm (c) 23 cm (d) 36 cm
  9. 9.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 133 sq cm (d) 114 sq cm
  10. 10.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  11. 11.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 54 cm (c) 27 cm (d) 44 cm
  12. 12.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 11 cm (c) 135 cm (d) 20 cm
  13. 13.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 29 cm (c) 38 cm (d) 19 cm
  14. 14.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 8 cm (c) 78 cm (d) 14 cm
  15. 15.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 26 sq cm (c) 49 sq cm (d) 13 sq cm
  16. 16.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 38 cm (c) 6 cm (d) 4 cm
  17. 17.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 15 cm (c) 30 cm (d) 50 cm
  18. 18.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 40 cm
  19. 19.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  20. 20.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 165 cm (c) 41 cm (d) 52 cm
  21. 21.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  22. 22.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 5 cm (c) 4 cm (d) 2 cm
  23. 23.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 78 cm (b) 32 cm (c) 19 cm (d) 38 cm
  24. 24.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 136 cm (d) 42 cm
  25. 25.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 133 cm (b) 8 cm (c) 9 cm (d) 16 cm
  26. 26.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 154 sq cm (d) 140 sq cm
  27. 27.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 10 cm (c) 5 cm (d) 6 cm
  28. 28.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 200 cm (c) 22 cm (d) 11 cm
  29. 29.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 16 cm (c) 8 cm (d) 14 cm
  30. 30.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 180 sq cm (c) 54 sq cm (d) 162 sq cm
  31. 31.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  32. 32.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 48 cm (c) 5 cm (d) 6 cm
  33. 33.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 11 cm (d) 24 cm
  34. 34.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
  35. 35.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 80 sq cm (c) 42 sq cm (d) 21 sq cm
  36. 36.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 18 sq cm (d) 27 sq cm
  37. 37.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 84 cm (c) 40 cm (d) 20 cm
  38. 38.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 45 sq cm (c) 30 sq cm (d) 17 sq cm
  39. 39.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 105 sq cm (c) 90 sq cm (d) 21 sq cm
  40. 40.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 48 cm (d) 14 cm

Answer key

  1. 11 cm
  2. 42 cm
  3. 46 cm
  4. 2 cm
  5. 42 cm
  6. 84 sq cm
  7. 72 sq cm
  8. 46 cm
  9. 114 sq cm
  10. 196 sq cm
  11. 54 cm
  12. 10 cm
  13. 38 cm
  14. 7 cm
  15. 42 sq cm
  16. 3 cm
  17. 30 cm
  18. 6 cm
  19. 25 sq cm
  20. 52 cm
  21. 36 sq cm
  22. 2 cm
  23. 38 cm
  24. 50 cm
  25. 8 cm
  26. 140 sq cm
  27. 5 cm
  28. 11 cm
  29. 16 cm
  30. 162 sq cm
  31. 121 sq cm
  32. 5 cm
  33. 22 cm
  34. 24 sq cm
  35. 80 sq cm
  36. 18 sq cm
  37. 40 cm
  38. 30 sq cm
  39. 90 sq cm
  40. 28 cm

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