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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 812 · 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 square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  2. 2.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  3. 3.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 19 cm (d) 34 cm
  4. 4.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 54 cm (b) 152 cm (c) 27 cm (d) 46 cm
  5. 5.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 50 sq cm (d) 40 sq cm
  6. 6.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  8. 8.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 77 sq cm (c) 34 sq cm (d) 66 sq cm
  9. 9.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 18 sq cm (d) 24 sq cm
  10. 10.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 52 sq cm (c) 176 sq cm (d) 26 sq cm
  11. 11.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 18 cm (d) 14 cm
  12. 12.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 98 sq cm (c) 42 sq cm (d) 21 sq cm
  13. 13.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 12 cm
  14. 14.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 47 cm (b) 198 cm (c) 58 cm (d) 29 cm
  15. 15.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 27 sq cm (d) 18 sq cm
  16. 16.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 18 cm (d) 28 cm
  17. 17.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 17 cm (c) 34 cm (d) 70 cm
  18. 18.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 160 cm (c) 10 cm (d) 18 cm
  19. 19.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 21 cm (d) 24 cm
  20. 20.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 90 sq cm (c) 46 sq cm (d) 23 sq cm
  21. 21.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 52 cm (c) 6 cm (d) 10 cm
  22. 22.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 45 sq cm (c) 34 sq cm (d) 17 sq cm
  23. 23.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 28 sq cm (d) 160 sq cm
  24. 24.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 35 cm (c) 19 cm (d) 24 cm
  25. 25.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 25 cm (c) 50 cm (d) 40 cm
  26. 26.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 38 cm (c) 19 cm (d) 30 cm
  27. 27.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 16 cm (c) 27 cm (d) 32 cm
  28. 28.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 16 sq cm (d) 18 sq cm
  29. 29.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 152 sq cm (c) 26 sq cm (d) 133 sq cm
  30. 30.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 20 cm (c) 180 cm (d) 10 cm
  31. 31.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
  32. 32.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 126 cm (b) 46 cm (c) 23 cm (d) 37 cm
  33. 33.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 8 cm (c) 98 cm (d) 9 cm
  34. 34.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  35. 35.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 95 sq cm (d) 76 sq cm
  36. 36.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 70 cm (c) 33 cm (d) 38 cm
  37. 37.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 120 cm
  38. 38.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 114 cm (c) 14 cm (d) 7 cm
  39. 39.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 30 cm (c) 15 cm (d) 23 cm
  40. 40.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 16 cm (c) 4 cm (d) 3 cm

Answer key

  1. 100 sq cm
  2. 81 sq cm
  3. 38 cm
  4. 54 cm
  5. 40 sq cm
  6. 225 sq cm
  7. 196 sq cm
  8. 66 sq cm
  9. 18 sq cm
  10. 160 sq cm
  11. 18 cm
  12. 98 sq cm
  13. 3 cm
  14. 58 cm
  15. 18 sq cm
  16. 22 cm
  17. 34 cm
  18. 9 cm
  19. 24 cm
  20. 90 sq cm
  21. 5 cm
  22. 30 sq cm
  23. 160 sq cm
  24. 24 cm
  25. 50 cm
  26. 38 cm
  27. 32 cm
  28. 12 sq cm
  29. 133 sq cm
  30. 10 cm
  31. 49 sq cm
  32. 46 cm
  33. 8 cm
  34. 121 sq cm
  35. 76 sq cm
  36. 38 cm
  37. 11 cm
  38. 7 cm
  39. 30 cm
  40. 3 cm

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