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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 608 · 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 square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  2. 2.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
  3. 3.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 10 cm (d) 9 cm
  4. 4.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 26 cm
  5. 5.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 44 sq cm (c) 22 sq cm (d) 40 sq cm
  6. 6.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  7. 7.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 27 sq cm
  8. 8.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 32 cm (c) 3 cm (d) 6 cm
  9. 9.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 72 cm (c) 5 cm (d) 10 cm
  10. 10.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 41 cm (b) 50 cm (c) 144 cm (d) 25 cm
  11. 11.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 68 sq cm (c) 21 sq cm (d) 85 sq cm
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  13. 13.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
  14. 14.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 20 cm (d) 11 cm
  15. 15.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 234 sq cm (c) 216 sq cm (d) 30 sq cm
  16. 16.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 12 sq cm (d) 20 sq cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  18. 18.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 35 cm (b) 22 cm (c) 44 cm (d) 117 cm
  19. 19.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 143 cm
  20. 20.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
  21. 21.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  22. 22.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 34 cm (d) 36 cm
  23. 23.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
  24. 24.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 6 cm (c) 90 cm (d) 7 cm
  25. 25.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 80 sq cm (d) 100 sq cm
  26. 26.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 47 cm (b) 58 cm (c) 198 cm (d) 29 cm
  27. 27.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 12 cm (d) 16 cm
  28. 28.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 23 sq cm (c) 46 sq cm (d) 130 sq cm
  29. 29.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 29 cm (c) 19 cm (d) 38 cm
  30. 30.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
  31. 31.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 28 sq cm (c) 56 sq cm (d) 180 sq cm
  32. 32.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 22 cm (d) 19 cm
  33. 33.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 48 cm
  34. 34.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 12 cm (c) 19 cm (d) 24 cm
  35. 35.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 160 cm
  36. 36.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 24 cm
  37. 37.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 50 cm (c) 44 cm (d) 25 cm
  38. 38.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 72 cm (c) 22 cm (d) 44 cm
  39. 39.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  40. 40.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 14 cm (c) 7 cm (d) 8 cm

Answer key

  1. 121 sq cm
  2. 25 sq cm
  3. 9 cm
  4. 3 cm
  5. 40 sq cm
  6. 100 sq cm
  7. 27 sq cm
  8. 3 cm
  9. 5 cm
  10. 50 cm
  11. 68 sq cm
  12. 196 sq cm
  13. 36 sq cm
  14. 22 cm
  15. 216 sq cm
  16. 20 sq cm
  17. 81 sq cm
  18. 44 cm
  19. 12 cm
  20. 49 sq cm
  21. 128 sq cm
  22. 38 cm
  23. 169 sq cm
  24. 6 cm
  25. 80 sq cm
  26. 58 cm
  27. 16 cm
  28. 130 sq cm
  29. 38 cm
  30. 3 cm
  31. 160 sq cm
  32. 22 cm
  33. 4 cm
  34. 24 cm
  35. 11 cm
  36. 3 cm
  37. 50 cm
  38. 44 cm
  39. 225 sq cm
  40. 7 cm

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