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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 160 · 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 15 cm long and 12 cm wide. What is its perimeter? (a) 27 cm (b) 180 cm (c) 54 cm (d) 42 cm
  2. 2.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 48 cm
  3. 3.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 6 cm (c) 8 cm (d) 4 cm
  4. 4.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 27 cm (c) 21 cm (d) 24 cm
  5. 5.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
  6. 6.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 90 sq cm (d) 80 sq cm
  7. 7.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 16 cm (d) 18 cm
  8. 8.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
  9. 9.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 33 cm (b) 42 cm (c) 108 cm (d) 21 cm
  10. 10.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 46 sq cm (c) 23 sq cm (d) 126 sq cm
  11. 11.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  12. 12.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 120 cm (c) 11 cm (d) 22 cm
  13. 13.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 35 sq cm (d) 28 sq cm
  14. 14.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 50 cm (b) 154 cm (c) 25 cm (d) 39 cm
  15. 15.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 12 cm (c) 170 cm (d) 22 cm
  16. 16.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 12 cm (c) 13 cm (d) 24 cm
  17. 17.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 24 cm (d) 54 cm
  18. 18.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 30 cm (c) 11 cm (d) 17 cm
  19. 19.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  20. 20.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 9 cm (d) 10 cm
  21. 21.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 32 cm (d) 12 cm
  22. 22.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 18 sq cm (c) 27 sq cm (d) 11 sq cm
  23. 23.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 78 sq cm (c) 19 sq cm (d) 38 sq cm
  24. 24.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 3 cm (c) 4 cm (d) 6 cm
  25. 25.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 3 cm (c) 34 cm (d) 4 cm
  26. 26.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  27. 27.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 58 cm (b) 180 cm (c) 29 cm (d) 49 cm
  28. 28.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 160 cm
  29. 29.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
  30. 30.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 72 cm (c) 22 cm (d) 44 cm
  31. 31.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 48 sq cm (c) 24 sq cm (d) 114 sq cm
  32. 32.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  33. 33.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 46 cm (b) 39 cm (c) 112 cm (d) 23 cm
  34. 34.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 30 cm (c) 28 cm (d) 32 cm
  35. 35.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 152 cm (c) 10 cm (d) 9 cm
  36. 36.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
  37. 37.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 35 cm (c) 22 cm (d) 44 cm
  38. 38.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 28 cm
  39. 39.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 16 cm (d) 8 cm
  40. 40.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 44 sq cm (b) 102 sq cm (c) 22 sq cm (d) 85 sq cm

Answer key

  1. 54 cm
  2. 5 cm
  3. 3 cm
  4. 24 cm
  5. 81 sq cm
  6. 80 sq cm
  7. 18 cm
  8. 12 sq cm
  9. 42 cm
  10. 126 sq cm
  11. 225 sq cm
  12. 11 cm
  13. 28 sq cm
  14. 50 cm
  15. 11 cm
  16. 12 cm
  17. 30 cm
  18. 22 cm
  19. 196 sq cm
  20. 9 cm
  21. 24 cm
  22. 18 sq cm
  23. 78 sq cm
  24. 3 cm
  25. 3 cm
  26. 100 sq cm
  27. 58 cm
  28. 9 cm
  29. 49 sq cm
  30. 44 cm
  31. 95 sq cm
  32. 36 sq cm
  33. 46 cm
  34. 32 cm
  35. 9 cm
  36. 30 sq cm
  37. 44 cm
  38. 5 cm
  39. 16 cm
  40. 85 sq cm

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