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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 418 · 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 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
  2. 2.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 114 cm (c) 25 cm (d) 50 cm
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  4. 4.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 4 cm (c) 6 cm (d) 3 cm
  5. 5.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 25 cm (d) 50 cm
  6. 6.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 26 sq cm (d) 13 sq cm
  7. 7.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 19 sq cm (c) 99 sq cm (d) 38 sq cm
  8. 8.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
  9. 9.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 105 sq cm (c) 21 sq cm (d) 90 sq cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  11. 11.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 32 cm (d) 34 cm
  12. 12.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
  13. 13.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  14. 14.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 160 cm (c) 10 cm (d) 9 cm
  15. 15.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 32 cm (c) 16 cm (d) 55 cm
  16. 16.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 3 cm (c) 20 cm (d) 2 cm
  17. 17.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 144 cm (c) 10 cm (d) 9 cm
  18. 18.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 72 sq cm (d) 81 sq cm
  19. 19.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 33 cm (c) 28 cm (d) 14 cm
  20. 20.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 9 sq cm (d) 14 sq cm
  21. 21.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  22. 22.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 8 sq cm (d) 16 sq cm
  23. 23.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 7 cm (c) 6 cm (d) 12 cm
  24. 24.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 38 cm (b) 35 cm (c) 48 cm (d) 19 cm
  25. 25.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 18 sq cm (c) 36 sq cm (d) 90 sq cm
  26. 26.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 21 cm (c) 26 cm (d) 40 cm
  27. 27.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 36 cm
  28. 28.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 7 cm (c) 55 cm (d) 12 cm
  29. 29.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 96 cm
  30. 30.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 135 cm (c) 10 cm (d) 11 cm
  31. 31.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 66 cm (d) 28 cm
  32. 32.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 4 cm (c) 27 cm (d) 8 cm
  33. 33.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 16 cm (c) 8 cm (d) 9 cm
  34. 34.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 19 sq cm (d) 18 sq cm
  35. 35.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 54 cm (c) 15 cm (d) 30 cm
  36. 36.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 45 cm
  37. 37.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 27 sq cm
  38. 38.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 60 cm (b) 23 cm (c) 43 cm (d) 46 cm
  39. 39.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 180 cm (c) 11 cm (d) 20 cm
  40. 40.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 152 sq cm (c) 27 sq cm (d) 171 sq cm

Answer key

  1. 64 sq cm
  2. 50 cm
  3. 225 sq cm
  4. 3 cm
  5. 30 cm
  6. 42 sq cm
  7. 88 sq cm
  8. 196 sq cm
  9. 90 sq cm
  10. 81 sq cm
  11. 36 cm
  12. 24 sq cm
  13. 100 sq cm
  14. 9 cm
  15. 32 cm
  16. 2 cm
  17. 9 cm
  18. 72 sq cm
  19. 28 cm
  20. 14 sq cm
  21. 25 sq cm
  22. 12 sq cm
  23. 6 cm
  24. 38 cm
  25. 80 sq cm
  26. 26 cm
  27. 5 cm
  28. 6 cm
  29. 7 cm
  30. 10 cm
  31. 34 cm
  32. 4 cm
  33. 8 cm
  34. 18 sq cm
  35. 30 cm
  36. 6 cm
  37. 27 sq cm
  38. 46 cm
  39. 10 cm
  40. 152 sq cm

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