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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 698 · 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 has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 6 cm (c) 5 cm (d) 10 cm
  2. 2.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 6 cm (c) 4 cm (d) 3 cm
  3. 3.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 42 sq cm (d) 68 sq cm
  4. 4.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 40 sq cm (c) 50 sq cm (d) 28 sq cm
  5. 5.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 36 cm
  6. 6.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 182 sq cm (b) 26 sq cm (c) 52 sq cm (d) 168 sq cm
  7. 7.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 84 cm (c) 38 cm (d) 19 cm
  8. 8.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 2 cm (c) 1 cm (d) 4 cm
  9. 9.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
  10. 10.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
  11. 11.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 22 cm (c) 12 cm (d) 11 cm
  12. 12.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 72 sq cm (c) 22 sq cm (d) 90 sq cm
  13. 13.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 108 cm (c) 24 cm (d) 48 cm
  14. 14.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  15. 15.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 4 cm (c) 8 cm (d) 5 cm
  16. 16.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 18 sq cm (c) 27 sq cm (d) 22 sq cm
  17. 17.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 48 sq cm (b) 128 sq cm (c) 144 sq cm (d) 24 sq cm
  18. 18.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 6 cm (c) 12 cm (d) 7 cm
  19. 19.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 24 cm (c) 143 cm (d) 13 cm
  20. 20.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 152 cm (c) 46 cm (d) 54 cm
  21. 21.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 51 cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
  23. 23.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 19 cm (c) 22 cm (d) 24 cm
  24. 24.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 180 cm (b) 27 cm (c) 42 cm (d) 54 cm
  25. 25.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 42 cm (c) 5 cm (d) 4 cm
  26. 26.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 38 cm (b) 35 cm (c) 48 cm (d) 19 cm
  27. 27.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 30 cm
  28. 28.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 187 cm
  29. 29.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  30. 30.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 120 sq cm (c) 42 sq cm (d) 108 sq cm
  31. 31.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  32. 32.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 42 cm (c) 21 cm (d) 40 cm
  33. 33.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 6 cm (c) 80 cm (d) 7 cm
  34. 34.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
  35. 35.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 30 cm (c) 17 cm (d) 34 cm
  36. 36.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 40 sq cm (c) 36 sq cm (d) 20 sq cm
  37. 37.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 100 cm (c) 45 cm (d) 50 cm
  38. 38.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 176 cm (c) 27 cm (d) 54 cm
  39. 39.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 27 sq cm (c) 36 sq cm (d) 12 sq cm
  40. 40.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 10 sq cm (d) 30 sq cm

Answer key

  1. 5 cm
  2. 3 cm
  3. 68 sq cm
  4. 40 sq cm
  5. 5 cm
  6. 168 sq cm
  7. 38 cm
  8. 2 cm
  9. 225 sq cm
  10. 18 sq cm
  11. 11 cm
  12. 72 sq cm
  13. 48 cm
  14. 169 sq cm
  15. 4 cm
  16. 18 sq cm
  17. 128 sq cm
  18. 6 cm
  19. 12 cm
  20. 54 cm
  21. 4 cm
  22. 25 sq cm
  23. 22 cm
  24. 54 cm
  25. 4 cm
  26. 38 cm
  27. 3 cm
  28. 12 cm
  29. 36 sq cm
  30. 108 sq cm
  31. 64 sq cm
  32. 42 cm
  33. 6 cm
  34. 28 sq cm
  35. 34 cm
  36. 36 sq cm
  37. 50 cm
  38. 54 cm
  39. 27 sq cm
  40. 24 sq cm

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