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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 447 · 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 rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 28 cm (c) 14 cm (d) 25 cm
  2. 2.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 18 sq cm (d) 8 sq cm
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  4. 4.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 27 cm (c) 15 cm (d) 30 cm
  5. 5.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 12 cm (c) 11 cm (d) 22 cm
  6. 6.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 48 cm (c) 28 cm (d) 22 cm
  7. 7.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 5 cm (c) 21 cm (d) 4 cm
  8. 8.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 44 cm (c) 27 cm (d) 54 cm
  9. 9.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 24 sq cm (c) 12 sq cm (d) 42 sq cm
  10. 10.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 143 cm (c) 12 cm (d) 24 cm
  11. 11.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 40 cm (d) 42 cm
  12. 12.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 56 cm
  13. 13.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 130 cm (c) 22 cm (d) 12 cm
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  15. 15.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 168 sq cm (c) 52 sq cm (d) 182 sq cm
  16. 16.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 48 cm
  17. 17.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 45 sq cm (c) 13 sq cm (d) 36 sq cm
  18. 18.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 41 cm (b) 46 cm (c) 23 cm (d) 90 cm
  19. 19.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 14 cm (c) 28 cm (d) 45 cm
  20. 20.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  21. 21.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 30 sq cm (d) 36 sq cm
  22. 22.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 30 cm (d) 15 cm
  23. 23.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 21 sq cm (c) 42 sq cm (d) 110 sq cm
  24. 24.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 45 cm (c) 187 cm (d) 56 cm
  25. 25.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 105 sq cm (b) 22 sq cm (c) 120 sq cm (d) 44 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 16 cm long and 5 cm wide. What is its perimeter? (a) 80 cm (b) 37 cm (c) 21 cm (d) 42 cm
  28. 28.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 14 sq cm (c) 28 sq cm (d) 56 sq cm
  29. 29.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  30. 30.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  31. 31.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 4 cm (c) 2 cm (d) 3 cm
  32. 32.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 22 cm (d) 20 cm
  33. 33.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
  34. 34.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 3 cm (c) 14 cm (d) 6 cm
  35. 35.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 52 cm (c) 5 cm (d) 6 cm
  36. 36.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
  37. 37.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 76 cm (c) 46 cm (d) 23 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) 12 cm (c) 13 cm (d) 24 cm
  39. 39.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 14 sq cm (d) 64 sq cm
  40. 40.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 6 cm (c) 4 cm (d) 3 cm

Answer key

  1. 28 cm
  2. 12 sq cm
  3. 25 sq cm
  4. 30 cm
  5. 11 cm
  6. 28 cm
  7. 4 cm
  8. 54 cm
  9. 35 sq cm
  10. 12 cm
  11. 44 cm
  12. 5 cm
  13. 11 cm
  14. 64 sq cm
  15. 168 sq cm
  16. 4 cm
  17. 36 sq cm
  18. 46 cm
  19. 28 cm
  20. 36 sq cm
  21. 30 sq cm
  22. 30 cm
  23. 110 sq cm
  24. 56 cm
  25. 105 sq cm
  26. 20 cm
  27. 42 cm
  28. 48 sq cm
  29. 121 sq cm
  30. 81 sq cm
  31. 2 cm
  32. 24 cm
  33. 100 sq cm
  34. 3 cm
  35. 5 cm
  36. 26 sq cm
  37. 46 cm
  38. 12 cm
  39. 49 sq cm
  40. 3 cm

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