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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 123 · 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 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
  2. 2.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 19 cm (c) 30 cm (d) 38 cm
  3. 3.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 4 cm (c) 2 cm (d) 3 cm
  4. 4.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 42 cm (c) 21 cm (d) 104 cm
  5. 5.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 18 sq cm (d) 8 sq cm
  6. 6.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 99 cm (c) 10 cm (d) 11 cm
  7. 7.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 72 cm (d) 40 cm
  8. 8.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 10 cm (c) 72 cm (d) 5 cm
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  10. 10.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 119 sq cm (d) 102 sq cm
  11. 11.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 48 cm (c) 24 cm (d) 39 cm
  12. 12.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 180 sq cm (d) 160 sq cm
  13. 13.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  14. 14.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 5 cm (c) 68 cm (d) 6 cm
  15. 15.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 144 cm
  16. 16.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 162 cm (c) 54 cm (d) 45 cm
  17. 17.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 119 cm
  18. 18.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 104 sq cm (d) 91 sq cm
  19. 19.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 104 cm
  20. 20.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
  21. 21.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 38 sq cm (c) 19 sq cm (d) 91 sq cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  23. 23.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 28 cm (c) 14 cm (d) 45 cm
  24. 24.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 96 cm (b) 32 cm (c) 20 cm (d) 40 cm
  25. 25.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  26. 26.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 26 cm
  27. 27.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 8 cm (c) 77 cm (d) 16 cm
  28. 28.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) 14 cm (d) 7 cm
  29. 29.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 119 sq cm (b) 24 sq cm (c) 48 sq cm (d) 136 sq cm
  30. 30.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 22 sq cm (c) 33 sq cm (d) 13 sq cm
  31. 31.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 72 sq cm (d) 60 sq cm
  32. 32.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 26 sq cm (d) 13 sq cm
  33. 33.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 198 sq cm (c) 29 sq cm (d) 216 sq cm
  34. 34.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  35. 35.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 18 sq cm (c) 27 sq cm (d) 11 sq cm
  36. 36.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 190 cm
  37. 37.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 3 cm (c) 2 cm (d) 4 cm
  38. 38.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 100 sq cm (c) 80 sq cm (d) 48 sq cm
  39. 39.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 19 cm (d) 15 cm
  40. 40.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 24 cm

Answer key

  1. 64 sq cm
  2. 38 cm
  3. 2 cm
  4. 42 cm
  5. 12 sq cm
  6. 10 cm
  7. 44 cm
  8. 5 cm
  9. 225 sq cm
  10. 102 sq cm
  11. 48 cm
  12. 160 sq cm
  13. 144 sq cm
  14. 5 cm
  15. 9 cm
  16. 54 cm
  17. 8 cm
  18. 91 sq cm
  19. 9 cm
  20. 121 sq cm
  21. 78 sq cm
  22. 25 sq cm
  23. 28 cm
  24. 40 cm
  25. 100 sq cm
  26. 3 cm
  27. 8 cm
  28. 7 cm
  29. 119 sq cm
  30. 22 sq cm
  31. 60 sq cm
  32. 42 sq cm
  33. 198 sq cm
  34. 36 sq cm
  35. 18 sq cm
  36. 11 cm
  37. 2 cm
  38. 80 sq cm
  39. 18 cm
  40. 3 cm

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