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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 166 · 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 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  2. 2.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 18 cm (c) 72 cm (d) 36 cm
  3. 3.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 57 sq cm (c) 38 sq cm (d) 42 sq cm
  4. 4.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 70 cm
  5. 5.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 117 sq cm (c) 42 sq cm (d) 104 sq cm
  6. 6.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 18 cm (b) 8 cm (c) 5 cm (d) 4 cm
  7. 7.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  8. 8.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 90 cm (c) 19 cm (d) 38 cm
  9. 9.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
  10. 10.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 64 sq cm (d) 56 sq cm
  11. 11.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  12. 12.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 80 sq cm (c) 100 sq cm (d) 48 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 is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 33 cm (c) 19 cm (d) 70 cm
  15. 15.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 192 cm (b) 28 cm (c) 56 cm (d) 44 cm
  16. 16.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 38 cm (b) 31 cm (c) 84 cm (d) 19 cm
  17. 17.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 34 cm (b) 27 cm (c) 70 cm (d) 17 cm
  18. 18.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 48 sq cm (d) 28 sq cm
  19. 19.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  20. 20.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 32 cm (d) 56 cm
  21. 21.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 44 cm (c) 41 cm (d) 22 cm
  22. 22.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 42 sq cm (c) 34 sq cm (d) 17 sq cm
  23. 23.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 150 cm
  24. 24.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 24 sq cm (c) 36 sq cm (d) 28 sq cm
  25. 25.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 55 cm
  26. 26.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 21 sq cm (d) 14 sq cm
  27. 27.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 38 cm (d) 42 cm
  28. 28.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 20 cm (c) 4 cm (d) 6 cm
  29. 29.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 22 cm
  30. 30.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 32 sq cm (d) 12 sq cm
  31. 31.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 8 cm
  32. 32.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 20 sq cm (d) 21 sq cm
  33. 33.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 14 cm (d) 23 cm
  34. 34.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 55 cm (d) 27 cm
  35. 35.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 40 cm (c) 20 cm (d) 36 cm
  36. 36.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  37. 37.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 23 cm (c) 15 cm (d) 30 cm
  38. 38.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 187 cm
  39. 39.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 143 cm (c) 37 cm (d) 48 cm
  40. 40.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 216 cm (c) 60 cm (d) 48 cm

Answer key

  1. 25 sq cm
  2. 36 cm
  3. 38 sq cm
  4. 6 cm
  5. 104 sq cm
  6. 4 cm
  7. 121 sq cm
  8. 38 cm
  9. 196 sq cm
  10. 56 sq cm
  11. 225 sq cm
  12. 80 sq cm
  13. 100 sq cm
  14. 38 cm
  15. 56 cm
  16. 38 cm
  17. 34 cm
  18. 48 sq cm
  19. 64 sq cm
  20. 36 cm
  21. 44 cm
  22. 42 sq cm
  23. 11 cm
  24. 24 sq cm
  25. 6 cm
  26. 14 sq cm
  27. 42 cm
  28. 3 cm
  29. 3 cm
  30. 32 sq cm
  31. 2 cm
  32. 21 sq cm
  33. 28 cm
  34. 32 cm
  35. 40 cm
  36. 169 sq cm
  37. 30 cm
  38. 12 cm
  39. 48 cm
  40. 60 cm

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