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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 789 · 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 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 180 cm (c) 58 cm (d) 29 cm
  2. 2.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 21 sq cm (d) 18 sq cm
  3. 3.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 27 sq cm (d) 12 sq cm
  4. 4.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 170 sq cm (d) 153 sq cm
  5. 5.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 10 cm (c) 126 cm (d) 11 cm
  6. 6.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  7. 7.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 60 sq cm (c) 16 sq cm (d) 32 sq cm
  8. 8.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 2 cm (c) 18 cm (d) 3 cm
  9. 9.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 45 sq cm (c) 36 sq cm (d) 13 sq cm
  10. 10.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 12 cm (d) 24 cm
  11. 11.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 23 sq cm (c) 46 sq cm (d) 126 sq cm
  12. 12.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
  13. 13.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 12 cm (d) 8 cm
  14. 14.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
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  16. 16.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
  17. 17.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 117 cm (c) 11 cm (d) 10 cm
  18. 18.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 39 cm (b) 4 cm (c) 8 cm (d) 5 cm
  19. 19.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 22 sq cm (c) 44 sq cm (d) 126 sq cm
  20. 20.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
  21. 21.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 2 cm (c) 3 cm (d) 4 cm
  22. 22.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 45 sq cm (c) 28 sq cm (d) 14 sq cm
  23. 23.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 39 cm (d) 112 cm
  24. 24.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 44 cm (c) 85 cm (d) 22 cm
  25. 25.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 28 cm (c) 17 cm (d) 66 cm
  26. 26.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 6 cm (c) 10 cm (d) 5 cm
  27. 27.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 7 cm (c) 35 cm (d) 12 cm
  28. 28.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 28 cm (c) 14 cm (d) 45 cm
  29. 29.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 76 cm
  30. 30.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 99 cm (c) 10 cm (d) 11 cm
  31. 31.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
  32. 32.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 10 sq cm (d) 20 sq cm
  33. 33.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 108 sq cm (c) 126 sq cm (d) 48 sq cm
  34. 34.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 171 sq cm (c) 190 sq cm (d) 56 sq cm
  35. 35.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 75 sq cm (d) 90 sq cm
  36. 36.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 19 cm (c) 29 cm (d) 38 cm
  37. 37.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 56 sq cm (c) 30 sq cm (d) 64 sq cm
  38. 38.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 35 sq cm (d) 22 sq cm
  39. 39.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 136 cm
  40. 40.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 152 sq cm (c) 27 sq cm (d) 54 sq cm

Answer key

  1. 58 cm
  2. 14 sq cm
  3. 27 sq cm
  4. 153 sq cm
  5. 10 cm
  6. 49 sq cm
  7. 48 sq cm
  8. 2 cm
  9. 36 sq cm
  10. 24 cm
  11. 126 sq cm
  12. 121 sq cm
  13. 16 cm
  14. 24 sq cm
  15. 100 sq cm
  16. 225 sq cm
  17. 10 cm
  18. 4 cm
  19. 112 sq cm
  20. 64 sq cm
  21. 2 cm
  22. 45 sq cm
  23. 46 cm
  24. 44 cm
  25. 34 cm
  26. 5 cm
  27. 6 cm
  28. 28 cm
  29. 5 cm
  30. 10 cm
  31. 81 sq cm
  32. 21 sq cm
  33. 108 sq cm
  34. 171 sq cm
  35. 75 sq cm
  36. 38 cm
  37. 56 sq cm
  38. 28 sq cm
  39. 9 cm
  40. 152 sq cm

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