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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 864 · 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 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 19 sq cm (c) 84 sq cm (d) 38 sq cm
  2. 2.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 90 sq cm (c) 46 sq cm (d) 108 sq cm
  3. 3.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  4. 4.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 14 cm (b) 78 cm (c) 8 cm (d) 7 cm
  5. 5.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 64 sq cm (d) 15 sq cm
  6. 6.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 17 cm (c) 34 cm (d) 66 cm
  7. 7.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
  9. 9.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 6 cm (c) 32 cm (d) 10 cm
  10. 10.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 24 sq cm (d) 19 sq cm
  11. 11.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 3 cm (c) 2 cm (d) 4 cm
  12. 12.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 3 cm (c) 4 cm (d) 6 cm
  13. 13.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  14. 14.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 12 cm
  15. 15.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 11 sq cm (c) 30 sq cm (d) 22 sq cm
  16. 16.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 11 cm (c) 130 cm (d) 22 cm
  17. 17.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  18. 18.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 28 cm (c) 14 cm (d) 24 cm
  19. 19.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
  20. 20.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 162 cm
  21. 21.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 11 cm (c) 108 cm (d) 10 cm
  22. 22.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 12 sq cm
  23. 23.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 33 cm
  24. 24.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 24 cm (c) 12 cm (d) 19 cm
  25. 25.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 32 cm (c) 20 cm (d) 96 cm
  26. 26.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 198 cm (c) 13 cm (d) 24 cm
  27. 27.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 58 cm (c) 180 cm (d) 29 cm
  28. 28.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 30 cm (c) 54 cm (d) 15 cm
  29. 29.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
  30. 30.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 12 cm (c) 150 cm (d) 11 cm
  31. 31.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 70 cm
  32. 32.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 32 cm (c) 60 cm (d) 16 cm
  33. 33.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 54 sq cm (d) 45 sq cm
  34. 34.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 42 sq cm (d) 35 sq cm
  35. 35.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 6 cm (c) 3 cm (d) 4 cm
  36. 36.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  37. 37.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 24 cm (d) 21 cm
  38. 38.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 57 cm (c) 41 cm (d) 44 cm
  39. 39.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 204 cm (c) 46 cm (d) 58 cm
  40. 40.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 31 sq cm (c) 228 sq cm (d) 62 sq cm

Answer key

  1. 84 sq cm
  2. 90 sq cm
  3. 196 sq cm
  4. 7 cm
  5. 56 sq cm
  6. 34 cm
  7. 36 sq cm
  8. 169 sq cm
  9. 5 cm
  10. 18 sq cm
  11. 2 cm
  12. 3 cm
  13. 25 sq cm
  14. 3 cm
  15. 30 sq cm
  16. 11 cm
  17. 49 sq cm
  18. 28 cm
  19. 225 sq cm
  20. 10 cm
  21. 10 cm
  22. 20 sq cm
  23. 4 cm
  24. 24 cm
  25. 40 cm
  26. 12 cm
  27. 58 cm
  28. 30 cm
  29. 100 sq cm
  30. 11 cm
  31. 8 cm
  32. 32 cm
  33. 45 sq cm
  34. 35 sq cm
  35. 3 cm
  36. 121 sq cm
  37. 24 cm
  38. 44 cm
  39. 58 cm
  40. 228 sq cm

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