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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 473 · 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 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
  3. 3.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  4. 4.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
  5. 5.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 18 sq cm (d) 9 sq cm
  6. 6.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 144 cm (c) 50 cm (d) 41 cm
  7. 7.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 143 sq cm (b) 48 sq cm (c) 156 sq cm (d) 24 sq cm
  8. 8.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
  9. 9.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 133 cm
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  11. 11.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 40 cm
  12. 12.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 12 sq cm (c) 42 sq cm (d) 24 sq cm
  13. 13.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 60 cm (c) 29 cm (d) 34 cm
  14. 14.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 16 cm (d) 20 cm
  15. 15.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 21 sq cm (c) 38 sq cm (d) 42 sq cm
  16. 16.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 21 cm (c) 40 cm (d) 13 cm
  17. 17.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 27 sq cm (d) 18 sq cm
  18. 18.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  19. 19.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 14 cm (c) 60 cm (d) 8 cm
  20. 20.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  21. 21.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 126 sq cm (c) 48 sq cm (d) 108 sq cm
  22. 22.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 28 cm (c) 25 cm (d) 14 cm
  23. 23.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 26 cm (d) 22 cm
  24. 24.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 216 sq cm (d) 198 sq cm
  25. 25.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
  26. 26.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 45 cm (c) 12 cm (d) 7 cm
  27. 27.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 140 sq cm (c) 126 sq cm (d) 46 sq cm
  28. 28.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  29. 29.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 26 sq cm (d) 36 sq cm
  30. 30.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 200 sq cm (c) 58 sq cm (d) 29 sq cm
  31. 31.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 22 cm (c) 48 cm (d) 28 cm
  32. 32.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 60 cm (b) 10 cm (c) 6 cm (d) 5 cm
  33. 33.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 63 cm (d) 25 cm
  34. 34.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 63 cm
  35. 35.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 50 cm (c) 25 cm (d) 30 cm
  36. 36.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
  37. 37.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 36 cm (d) 77 cm
  38. 38.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  39. 39.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 35 cm (d) 117 cm
  40. 40.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

Answer key

  1. 25 sq cm
  2. 196 sq cm
  3. 64 sq cm
  4. 12 sq cm
  5. 18 sq cm
  6. 50 cm
  7. 143 sq cm
  8. 144 sq cm
  9. 8 cm
  10. 225 sq cm
  11. 3 cm
  12. 35 sq cm
  13. 34 cm
  14. 20 cm
  15. 38 sq cm
  16. 26 cm
  17. 18 sq cm
  18. 169 sq cm
  19. 7 cm
  20. 36 sq cm
  21. 108 sq cm
  22. 28 cm
  23. 26 cm
  24. 198 sq cm
  25. 121 sq cm
  26. 6 cm
  27. 126 sq cm
  28. 81 sq cm
  29. 36 sq cm
  30. 180 sq cm
  31. 28 cm
  32. 5 cm
  33. 32 cm
  34. 8 cm
  35. 30 cm
  36. 100 sq cm
  37. 36 cm
  38. 49 sq cm
  39. 44 cm
  40. 85 sq cm

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