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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 241 · 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 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 42 cm (d) 20 cm
  2. 2.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 3 cm (c) 1 cm (d) 4 cm
  3. 3.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 28 cm (d) 14 cm
  4. 4.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 8 cm (c) 51 cm (d) 5 cm
  5. 5.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 3 cm (c) 4 cm (d) 6 cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  7. 7.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 182 sq cm (b) 168 sq cm (c) 26 sq cm (d) 52 sq cm
  8. 8.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  9. 9.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 33 cm (c) 21 cm (d) 42 cm
  10. 10.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 60 sq cm (d) 17 sq cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  12. 12.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 12 cm (d) 24 cm
  13. 13.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 96 sq cm (d) 108 sq cm
  14. 14.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  15. 15.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 15 sq cm (d) 64 sq cm
  16. 16.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 22 cm (d) 24 cm
  17. 17.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 34 cm (c) 6 cm (d) 3 cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 12 cm (d) 16 cm
  19. 19.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 90 cm (c) 21 cm (d) 36 cm
  20. 20.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 46 cm (c) 52 cm (d) 26 cm
  21. 21.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
  22. 22.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  23. 23.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 5 cm (c) 2 cm (d) 4 cm
  24. 24.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 140 cm (c) 24 cm (d) 38 cm
  25. 25.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  26. 26.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 29 cm (b) 39 cm (c) 16 cm (d) 32 cm
  27. 27.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  28. 28.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 20 cm (d) 22 cm
  29. 29.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 144 cm (d) 41 cm
  30. 30.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) 24 cm (d) 12 cm
  31. 31.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 19 cm (d) 24 cm
  32. 32.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 17 cm (d) 30 cm
  33. 33.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 100 cm (d) 45 cm
  34. 34.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 54 cm
  35. 35.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 42 sq cm (c) 120 sq cm (d) 21 sq cm
  36. 36.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 18 sq cm (c) 36 sq cm (d) 78 sq cm
  37. 37.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 63 cm
  38. 38.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 20 cm (d) 32 cm
  39. 39.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 80 cm (d) 44 cm
  40. 40.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

Answer key

  1. 26 cm
  2. 2 cm
  3. 28 cm
  4. 4 cm
  5. 3 cm
  6. 81 sq cm
  7. 168 sq cm
  8. 100 sq cm
  9. 42 cm
  10. 60 sq cm
  11. 49 sq cm
  12. 24 cm
  13. 96 sq cm
  14. 196 sq cm
  15. 56 sq cm
  16. 24 cm
  17. 3 cm
  18. 16 cm
  19. 42 cm
  20. 52 cm
  21. 121 sq cm
  22. 169 sq cm
  23. 2 cm
  24. 48 cm
  25. 36 sq cm
  26. 32 cm
  27. 25 sq cm
  28. 22 cm
  29. 50 cm
  30. 12 cm
  31. 22 cm
  32. 22 cm
  33. 50 cm
  34. 4 cm
  35. 108 sq cm
  36. 65 sq cm
  37. 8 cm
  38. 24 cm
  39. 48 cm
  40. 64 sq cm

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