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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 869 · 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 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 20 cm (d) 16 cm
  2. 2.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 39 cm (c) 85 cm (d) 22 cm
  3. 3.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 216 cm (c) 48 cm (d) 60 cm
  4. 4.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
  5. 5.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  6. 6.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 150 cm (c) 12 cm (d) 22 cm
  7. 7.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 14 cm (b) 90 cm (c) 7 cm (d) 8 cm
  8. 8.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 24 cm (d) 26 cm
  9. 9.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 10 cm
  10. 10.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
  11. 11.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 36 cm (c) 27 cm (d) 15 cm
  12. 12.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 25 cm (c) 50 cm (d) 136 cm
  13. 13.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  14. 14.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 54 cm (c) 176 cm (d) 27 cm
  15. 15.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
  16. 16.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 29 cm (c) 16 cm (d) 32 cm
  17. 17.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 34 cm (c) 32 cm (d) 18 cm
  18. 18.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 18 cm (d) 11 cm
  19. 19.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 84 cm
  20. 20.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 24 cm (d) 15 cm
  21. 21.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 130 cm (c) 22 cm (d) 11 cm
  22. 22.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  23. 23.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 21 cm (c) 27 cm (d) 24 cm
  24. 24.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 36 cm
  25. 25.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 14 cm (c) 28 cm (d) 25 cm
  26. 26.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 54 sq cm (d) 40 sq cm
  27. 27.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  28. 28.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 6 cm (c) 60 cm (d) 10 cm
  29. 29.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 13 cm (d) 20 cm
  30. 30.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 23 cm (c) 28 cm (d) 45 cm
  31. 31.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 7 cm (c) 3 cm (d) 2 cm
  32. 32.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 24 sq cm (d) 32 sq cm
  33. 33.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 10 cm (d) 9 cm
  34. 34.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 17 cm (d) 22 cm
  35. 35.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 16 cm (c) 8 cm (d) 14 cm
  36. 36.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 11 cm (c) 180 cm (d) 12 cm
  37. 37.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 77 cm
  38. 38.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 24 cm (c) 12 cm (d) 19 cm
  39. 39.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 40 cm (c) 3 cm (d) 4 cm
  40. 40.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 180 sq cm (d) 198 sq cm

Answer key

  1. 20 cm
  2. 44 cm
  3. 60 cm
  4. 25 sq cm
  5. 36 sq cm
  6. 11 cm
  7. 7 cm
  8. 26 cm
  9. 3 cm
  10. 196 sq cm
  11. 30 cm
  12. 50 cm
  13. 64 sq cm
  14. 54 cm
  15. 49 sq cm
  16. 32 cm
  17. 36 cm
  18. 22 cm
  19. 7 cm
  20. 30 cm
  21. 11 cm
  22. 169 sq cm
  23. 24 cm
  24. 3 cm
  25. 28 cm
  26. 36 sq cm
  27. 81 sq cm
  28. 5 cm
  29. 26 cm
  30. 28 cm
  31. 2 cm
  32. 32 sq cm
  33. 9 cm
  34. 22 cm
  35. 16 cm
  36. 11 cm
  37. 8 cm
  38. 24 cm
  39. 3 cm
  40. 180 sq cm

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