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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 246 · 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 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 22 cm (c) 11 cm (d) 12 cm
  2. 2.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 28 cm (c) 40 cm (d) 14 cm
  3. 3.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 17 cm (d) 32 cm
  4. 4.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 6 cm (c) 5 cm (d) 10 cm
  5. 5.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  6. 6.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  7. 7.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 42 sq cm (c) 28 sq cm (d) 16 sq cm
  8. 8.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 19 sq cm (c) 38 sq cm (d) 84 sq cm
  9. 9.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 51 sq cm (c) 20 sq cm (d) 40 sq cm
  10. 10.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 160 cm (b) 56 cm (c) 48 cm (d) 28 cm
  11. 11.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 9 cm (c) 16 cm (d) 8 cm
  12. 12.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 80 sq cm (d) 34 sq cm
  13. 13.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  14. 14.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
  15. 15.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 24 cm (d) 26 cm
  16. 16.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 234 sq cm (c) 60 sq cm (d) 30 sq cm
  17. 17.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 18 sq cm (d) 19 sq cm
  18. 18.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
  19. 19.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 24 cm
  20. 20.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 43 cm (b) 126 cm (c) 50 cm (d) 25 cm
  21. 21.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 26 cm (c) 32 cm (d) 16 cm
  22. 22.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 21 sq cm (b) 90 sq cm (c) 42 sq cm (d) 105 sq cm
  23. 23.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  24. 24.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 36 sq cm (c) 26 sq cm (d) 45 sq cm
  25. 25.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 56 cm (b) 44 cm (c) 192 cm (d) 28 cm
  26. 26.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 24 cm (c) 4 cm (d) 8 cm
  27. 27.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 44 cm (c) 85 cm (d) 22 cm
  28. 28.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 76 sq cm (c) 46 sq cm (d) 95 sq cm
  29. 29.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 24 sq cm (c) 36 sq cm (d) 14 sq cm
  30. 30.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 41 cm (d) 90 cm
  31. 31.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  32. 32.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 75 cm (b) 6 cm (c) 7 cm (d) 12 cm
  33. 33.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 3 cm (c) 8 cm (d) 2 cm
  34. 34.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 2 cm (b) 17 cm (c) 4 cm (d) 3 cm
  35. 35.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 4 cm (c) 6 cm (d) 3 cm
  36. 36.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 80 cm
  37. 37.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 8 cm (c) 105 cm (d) 16 cm
  38. 38.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 12 cm (d) 20 cm
  39. 39.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 30 sq cm (d) 50 sq cm
  40. 40.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 162 sq cm (b) 54 sq cm (c) 180 sq cm (d) 27 sq cm

Answer key

  1. 11 cm
  2. 28 cm
  3. 34 cm
  4. 5 cm
  5. 121 sq cm
  6. 25 sq cm
  7. 28 sq cm
  8. 84 sq cm
  9. 51 sq cm
  10. 56 cm
  11. 8 cm
  12. 70 sq cm
  13. 169 sq cm
  14. 196 sq cm
  15. 28 cm
  16. 216 sq cm
  17. 18 sq cm
  18. 50 cm
  19. 5 cm
  20. 50 cm
  21. 32 cm
  22. 90 sq cm
  23. 64 sq cm
  24. 36 sq cm
  25. 56 cm
  26. 4 cm
  27. 44 cm
  28. 76 sq cm
  29. 24 sq cm
  30. 46 cm
  31. 36 sq cm
  32. 6 cm
  33. 2 cm
  34. 2 cm
  35. 3 cm
  36. 9 cm
  37. 8 cm
  38. 24 cm
  39. 50 sq cm
  40. 162 sq cm

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