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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 422 · 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 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 22 sq cm (c) 85 sq cm (d) 44 sq cm
  2. 2.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 28 cm (c) 16 cm (d) 30 cm
  3. 3.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
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  5. 5.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 39 sq cm (c) 30 sq cm (d) 15 sq cm
  6. 6.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  7. 7.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 26 sq cm (c) 13 sq cm (d) 36 sq cm
  8. 8.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 12 cm (d) 14 cm
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  10. 10.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 100 sq cm (c) 19 sq cm (d) 38 sq cm
  11. 11.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 37 cm (c) 40 cm (d) 20 cm
  12. 12.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 28 sq cm (d) 198 sq cm
  13. 13.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 12 cm (c) 13 cm (d) 24 cm
  14. 14.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 22 cm (d) 48 cm
  15. 15.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 26 sq cm (b) 152 sq cm (c) 133 sq cm (d) 52 sq cm
  16. 16.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 198 cm (c) 12 cm (d) 24 cm
  17. 17.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 15 cm
  18. 18.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  19. 19.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 31 cm (b) 36 cm (c) 65 cm (d) 18 cm
  20. 20.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 126 sq cm (c) 112 sq cm (d) 22 sq 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) 51 cm (c) 8 cm (d) 4 cm
  22. 22.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 32 sq cm (d) 12 sq cm
  23. 23.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  24. 24.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 54 sq cm (d) 45 sq cm
  25. 25.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 187 sq cm (c) 27 sq cm (d) 54 sq cm
  26. 26.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 96 sq cm (d) 84 sq cm
  27. 27.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 36 cm
  28. 28.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 18 sq cm (d) 16 sq cm
  29. 29.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  30. 30.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 30 sq cm (c) 60 sq cm (d) 234 sq cm
  31. 31.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 31 sq cm (c) 220 sq cm (d) 62 sq cm
  32. 32.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 11 cm (c) 12 cm (d) 22 cm
  33. 33.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 18 sq cm (d) 27 sq cm
  34. 34.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  35. 35.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 81 sq cm (d) 72 sq cm
  36. 36.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 10 cm (c) 11 cm (d) 20 cm
  37. 37.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 26 cm (c) 30 cm (d) 13 cm
  38. 38.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 12 cm (c) 3 cm (d) 2 cm
  39. 39.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 143 sq cm (c) 24 sq cm (d) 156 sq cm
  40. 40.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 11 cm (c) 10 cm (d) 20 cm

Answer key

  1. 85 sq cm
  2. 32 cm
  3. 36 sq cm
  4. 81 sq cm
  5. 26 sq cm
  6. 225 sq cm
  7. 36 sq cm
  8. 16 cm
  9. 144 sq cm
  10. 90 sq cm
  11. 40 cm
  12. 180 sq cm
  13. 12 cm
  14. 28 cm
  15. 133 sq cm
  16. 12 cm
  17. 4 cm
  18. 64 sq cm
  19. 36 cm
  20. 112 sq cm
  21. 4 cm
  22. 32 sq cm
  23. 25 sq cm
  24. 45 sq cm
  25. 170 sq cm
  26. 84 sq cm
  27. 4 cm
  28. 12 sq cm
  29. 169 sq cm
  30. 216 sq cm
  31. 220 sq cm
  32. 11 cm
  33. 18 sq cm
  34. 100 sq cm
  35. 72 sq cm
  36. 10 cm
  37. 26 cm
  38. 2 cm
  39. 143 sq cm
  40. 10 cm

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