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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 850 · 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 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 143 cm (c) 13 cm (d) 24 cm
  2. 2.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 45 sq cm (d) 60 sq cm
  3. 3.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 84 cm
  4. 4.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
  5. 5.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 13 sq cm (c) 26 sq cm (d) 45 sq cm
  6. 6.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 126 cm
  7. 7.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
  8. 8.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 20 cm (d) 21 cm
  9. 9.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 48 sq cm (c) 14 sq cm (d) 56 sq cm
  10. 10.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 105 cm (c) 9 cm (d) 8 cm
  11. 11.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) 51 cm (d) 8 cm
  12. 12.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 96 cm
  13. 13.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 24 sq cm (d) 30 sq cm
  14. 14.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 26 cm (c) 13 cm (d) 20 cm
  15. 15.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 10 cm (c) 5 cm (d) 6 cm
  16. 16.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
  17. 17.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 51 sq cm (b) 38 sq cm (c) 19 sq cm (d) 34 sq cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 16 cm (d) 14 cm
  19. 19.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
  20. 20.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  21. 21.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 54 sq cm (d) 28 sq cm
  22. 22.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 90 sq cm (c) 18 sq cm (d) 80 sq cm
  23. 23.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 23 cm (d) 56 cm
  24. 24.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 234 sq cm (b) 216 sq cm (c) 60 sq cm (d) 30 sq cm
  25. 25.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 8 cm (c) 72 cm (d) 7 cm
  26. 26.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
  27. 27.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 24 sq cm (d) 18 sq cm
  28. 28.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 18 sq cm (d) 12 sq cm
  29. 29.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 24 cm (c) 187 cm (d) 12 cm
  30. 30.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 34 sq cm (c) 30 sq cm (d) 17 sq cm
  31. 31.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 21 sq cm (d) 28 sq cm
  32. 32.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 20 cm (c) 153 cm (d) 10 cm
  33. 33.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 11 cm (c) 140 cm (d) 12 cm
  34. 34.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 19 sq cm (c) 38 sq cm (d) 78 sq cm
  35. 35.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
  36. 36.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  37. 37.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 42 cm (d) 40 cm
  38. 38.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 49 sq cm (d) 42 sq cm
  39. 39.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 12 cm (c) 160 cm (d) 11 cm
  40. 40.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm

Answer key

  1. 12 cm
  2. 45 sq cm
  3. 7 cm
  4. 169 sq cm
  5. 36 sq cm
  6. 10 cm
  7. 76 sq cm
  8. 20 cm
  9. 48 sq cm
  10. 8 cm
  11. 4 cm
  12. 9 cm
  13. 20 sq cm
  14. 26 cm
  15. 5 cm
  16. 49 sq cm
  17. 34 sq cm
  18. 16 cm
  19. 36 sq cm
  20. 121 sq cm
  21. 45 sq cm
  22. 80 sq cm
  23. 30 cm
  24. 216 sq cm
  25. 7 cm
  26. 3 cm
  27. 18 sq cm
  28. 12 sq cm
  29. 12 cm
  30. 30 sq cm
  31. 21 sq cm
  32. 10 cm
  33. 11 cm
  34. 78 sq cm
  35. 64 sq cm
  36. 225 sq cm
  37. 42 cm
  38. 42 sq cm
  39. 11 cm
  40. 81 sq cm

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