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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 918 · 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 4 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 22 cm (d) 28 cm
  2. 2.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 26 sq cm (d) 30 sq cm
  3. 3.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 84 cm
  4. 4.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
  5. 5.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) 12 cm (d) 187 cm
  6. 6.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 180 cm
  7. 7.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 41 cm (b) 165 cm (c) 52 cm (d) 26 cm
  8. 8.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 198 cm
  9. 9.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 27 sq cm (d) 12 sq cm
  10. 10.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 85 sq cm (c) 42 sq cm (d) 68 sq cm
  11. 11.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
  12. 12.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 7 cm (c) 14 cm (d) 8 cm
  13. 13.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 152 cm (c) 9 cm (d) 18 cm
  14. 14.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 150 sq cm (c) 48 sq cm (d) 135 sq cm
  15. 15.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
  16. 16.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 27 sq cm (c) 140 sq cm (d) 54 sq cm
  17. 17.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 22 sq cm (d) 24 sq cm
  18. 18.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  19. 19.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 108 cm (c) 20 cm (d) 11 cm
  20. 20.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
  21. 21.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 208 sq cm (d) 192 sq cm
  22. 22.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 176 sq cm (c) 26 sq cm (d) 52 sq cm
  23. 23.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 36 sq cm (c) 65 sq cm (d) 18 sq cm
  24. 24.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  25. 25.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 44 cm (c) 30 cm (d) 26 cm
  26. 26.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 8 cm (c) 7 cm (d) 14 cm
  27. 27.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 22 sq cm (d) 11 sq cm
  28. 28.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 36 cm (d) 26 cm
  29. 29.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
  30. 30.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 60 cm (b) 38 cm (c) 34 cm (d) 19 cm
  31. 31.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 44 cm (c) 80 cm (d) 24 cm
  32. 32.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  33. 33.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 12 cm (c) 22 cm (d) 11 cm
  34. 34.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  35. 35.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 12 cm (d) 24 cm
  36. 36.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 42 cm (d) 38 cm
  37. 37.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 99 cm (c) 20 cm (d) 10 cm
  38. 38.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
  39. 39.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 133 sq cm (c) 114 sq cm (d) 50 sq cm
  40. 40.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 36 cm (c) 90 cm (d) 42 cm

Answer key

  1. 22 cm
  2. 30 sq cm
  3. 8 cm
  4. 25 sq cm
  5. 12 cm
  6. 11 cm
  7. 52 cm
  8. 12 cm
  9. 27 sq cm
  10. 68 sq cm
  11. 169 sq cm
  12. 7 cm
  13. 9 cm
  14. 135 sq cm
  15. 121 sq cm
  16. 140 sq cm
  17. 24 sq cm
  18. 49 sq cm
  19. 10 cm
  20. 3 cm
  21. 192 sq cm
  22. 160 sq cm
  23. 65 sq cm
  24. 144 sq cm
  25. 30 cm
  26. 7 cm
  27. 18 sq cm
  28. 26 cm
  29. 100 sq cm
  30. 38 cm
  31. 48 cm
  32. 36 sq cm
  33. 11 cm
  34. 81 sq cm
  35. 24 cm
  36. 42 cm
  37. 10 cm
  38. 64 sq cm
  39. 114 sq cm
  40. 42 cm

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