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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 785 · 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 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  2. 2.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 72 sq cm (b) 60 sq cm (c) 17 sq cm (d) 34 sq cm
  3. 3.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 18 cm (d) 11 cm
  4. 4.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 80 sq cm (d) 64 sq cm
  5. 5.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 45 sq cm (d) 36 sq cm
  6. 6.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 72 cm (d) 26 cm
  7. 7.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 11 sq cm (d) 22 sq cm
  8. 8.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 84 cm
  9. 9.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 32 cm (c) 34 cm (d) 36 cm
  10. 10.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 36 cm (d) 80 cm
  11. 11.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  12. 12.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  13. 13.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 117 sq cm (c) 22 sq cm (d) 44 sq cm
  14. 14.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 36 cm (c) 27 cm (d) 30 cm
  15. 15.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 120 cm (c) 23 cm (d) 38 cm
  16. 16.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 10 sq cm (c) 21 sq cm (d) 20 sq cm
  17. 17.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 44 cm (c) 54 cm (d) 27 cm
  18. 18.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 54 sq cm (d) 72 sq cm
  19. 19.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  20. 20.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 117 cm (c) 20 cm (d) 10 cm
  21. 21.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 26 cm (d) 44 cm
  22. 22.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 100 sq cm (c) 38 sq cm (d) 90 sq cm
  23. 23.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 40 sq cm (c) 13 sq cm (d) 26 sq cm
  24. 24.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 56 sq cm (c) 18 sq cm (d) 36 sq cm
  25. 25.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 33 cm (d) 70 cm
  26. 26.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 32 sq cm (d) 48 sq cm
  27. 27.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 18 cm (c) 19 cm (d) 9 cm
  28. 28.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 65 cm (b) 6 cm (c) 12 cm (d) 7 cm
  29. 29.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 12 cm (d) 11 cm
  30. 30.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 40 cm (c) 21 cm (d) 26 cm
  31. 31.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 16 cm (d) 20 cm
  32. 32.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 32 sq cm (d) 40 sq cm
  33. 33.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 56 sq cm (d) 64 sq cm
  34. 34.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 209 sq cm (c) 29 sq cm (d) 58 sq cm
  35. 35.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  36. 36.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 24 cm (d) 13 cm
  37. 37.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 39 sq cm (c) 30 sq cm (d) 26 sq cm
  38. 38.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 12 cm (d) 13 cm
  39. 39.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 30 sq cm (d) 10 sq cm
  40. 40.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

Answer key

  1. 36 sq cm
  2. 60 sq cm
  3. 22 cm
  4. 64 sq cm
  5. 36 sq cm
  6. 34 cm
  7. 28 sq cm
  8. 8 cm
  9. 36 cm
  10. 36 cm
  11. 64 sq cm
  12. 25 sq cm
  13. 117 sq cm
  14. 30 cm
  15. 46 cm
  16. 21 sq cm
  17. 54 cm
  18. 54 sq cm
  19. 196 sq cm
  20. 10 cm
  21. 30 cm
  22. 90 sq cm
  23. 30 sq cm
  24. 56 sq cm
  25. 38 cm
  26. 48 sq cm
  27. 18 cm
  28. 6 cm
  29. 11 cm
  30. 26 cm
  31. 20 cm
  32. 32 sq cm
  33. 56 sq cm
  34. 190 sq cm
  35. 49 sq cm
  36. 26 cm
  37. 26 sq cm
  38. 12 cm
  39. 24 sq cm
  40. 38 cm

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