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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 755 · 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 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  2. 2.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 28 cm
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 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 is 14 cm long and 11 cm wide. What is its area? (a) 154 sq cm (b) 50 sq cm (c) 168 sq cm (d) 25 sq cm
  6. 6.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 16 cm (c) 14 cm (d) 18 cm
  7. 7.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  8. 8.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 154 cm
  9. 9.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  10. 10.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 110 cm (c) 32 cm (d) 42 cm
  11. 11.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 12 cm (c) 85 cm (d) 6 cm
  12. 12.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 40 cm (b) 99 cm (c) 31 cm (d) 20 cm
  13. 13.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 28 cm (d) 66 cm
  14. 14.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 57 cm (c) 4 cm (d) 5 cm
  15. 15.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
  16. 16.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 68 cm
  17. 17.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 8 cm
  18. 18.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  19. 19.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 12 sq cm (d) 32 sq cm
  20. 20.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 72 sq cm (d) 54 sq cm
  21. 21.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  22. 22.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 16 cm (c) 32 cm (d) 28 cm
  23. 23.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 19 cm (d) 35 cm
  24. 24.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
  25. 25.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 10 sq cm (d) 20 sq cm
  26. 26.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 20 cm (d) 10 cm
  27. 27.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 16 cm (d) 14 cm
  28. 28.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 28 cm
  29. 29.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 100 sq cm (d) 18 sq cm
  30. 30.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 24 cm (d) 11 cm
  31. 31.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 96 cm
  32. 32.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 11 cm
  33. 33.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 33 cm (c) 14 cm (d) 25 cm
  34. 34.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 11 cm (c) 135 cm (d) 20 cm
  35. 35.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 16 cm (d) 10 cm
  36. 36.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 22 cm (c) 20 cm (d) 24 cm
  37. 37.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 12 cm (c) 22 cm (d) 11 cm
  38. 38.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 104 sq cm (d) 117 sq cm
  39. 39.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 60 sq cm (c) 48 sq cm (d) 16 sq cm
  40. 40.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 42 sq cm (d) 34 sq cm

Answer key

  1. 49 sq cm
  2. 5 cm
  3. 25 sq cm
  4. 80 sq cm
  5. 154 sq cm
  6. 18 cm
  7. 144 sq cm
  8. 12 cm
  9. 196 sq cm
  10. 42 cm
  11. 6 cm
  12. 40 cm
  13. 34 cm
  14. 4 cm
  15. 121 sq cm
  16. 5 cm
  17. 3 cm
  18. 225 sq cm
  19. 32 sq cm
  20. 54 sq cm
  21. 36 sq cm
  22. 32 cm
  23. 24 cm
  24. 169 sq cm
  25. 24 sq cm
  26. 20 cm
  27. 16 cm
  28. 22 cm
  29. 81 sq cm
  30. 22 cm
  31. 9 cm
  32. 2 cm
  33. 28 cm
  34. 10 cm
  35. 20 cm
  36. 24 cm
  37. 11 cm
  38. 104 sq cm
  39. 48 sq cm
  40. 42 sq cm

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