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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 440 · 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 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  2. 2.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 24 cm
  3. 3.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  4. 4.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 90 sq cm (c) 80 sq cm (d) 18 sq cm
  5. 5.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 10 cm (c) 20 cm (d) 11 cm
  6. 6.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 108 sq cm (d) 96 sq cm
  7. 7.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  8. 8.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  9. 9.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 68 cm (c) 6 cm (d) 10 cm
  10. 10.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 54 sq cm (d) 45 sq cm
  11. 11.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 40 cm (c) 36 cm (d) 20 cm
  12. 12.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 95 sq cm (c) 48 sq cm (d) 114 sq cm
  13. 13.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 23 sq cm (c) 76 sq cm (d) 46 sq cm
  14. 14.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 168 sq cm (c) 154 sq cm (d) 25 sq cm
  15. 15.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 47 cm (d) 198 cm
  16. 16.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 80 cm (d) 9 cm
  17. 17.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 15 sq cm (c) 64 sq cm (d) 30 sq cm
  18. 18.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
  19. 19.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 132 cm (b) 35 cm (c) 46 cm (d) 23 cm
  20. 20.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 18 sq cm (c) 11 sq cm (d) 22 sq cm
  21. 21.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 22 cm (d) 28 cm
  22. 22.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  23. 23.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 34 cm (c) 30 cm (d) 17 cm
  24. 24.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 49 cm (c) 180 cm (d) 58 cm
  25. 25.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 15 cm (d) 9 cm
  26. 26.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 12 cm (d) 14 cm
  27. 27.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 44 sq cm (c) 14 sq cm (d) 33 sq cm
  28. 28.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 20 cm (c) 10 cm (d) 21 cm
  29. 29.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  30. 30.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 36 cm
  31. 31.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  32. 32.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
  33. 33.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 38 sq cm (c) 84 sq cm (d) 19 sq cm
  34. 34.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 12 cm (c) 2 cm (d) 4 cm
  35. 35.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm
  36. 36.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 44 cm (c) 50 cm (d) 114 cm
  37. 37.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 50 cm (c) 45 cm (d) 25 cm
  38. 38.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 36 cm
  39. 39.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 14 cm (c) 23 cm (d) 28 cm
  40. 40.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 12 cm

Answer key

  1. 144 sq cm
  2. 20 cm
  3. 81 sq cm
  4. 80 sq cm
  5. 10 cm
  6. 96 sq cm
  7. 25 sq cm
  8. 100 sq cm
  9. 5 cm
  10. 45 sq cm
  11. 40 cm
  12. 95 sq cm
  13. 76 sq cm
  14. 154 sq cm
  15. 58 cm
  16. 9 cm
  17. 56 sq cm
  18. 64 sq cm
  19. 46 cm
  20. 18 sq cm
  21. 22 cm
  22. 121 sq cm
  23. 34 cm
  24. 58 cm
  25. 18 cm
  26. 16 cm
  27. 33 sq cm
  28. 20 cm
  29. 225 sq cm
  30. 3 cm
  31. 196 sq cm
  32. 30 sq cm
  33. 70 sq cm
  34. 2 cm
  35. 16 sq cm
  36. 50 cm
  37. 50 cm
  38. 5 cm
  39. 28 cm
  40. 3 cm

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