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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 404 · 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) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  2. 2.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 46 cm (c) 41 cm (d) 23 cm
  3. 3.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  4. 4.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 50 cm
  5. 5.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 32 cm (b) 6 cm (c) 10 cm (d) 5 cm
  6. 6.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 40 sq cm (c) 22 sq cm (d) 60 sq cm
  7. 7.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 21 sq cm (c) 108 sq cm (d) 42 sq cm
  8. 8.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 17 sq cm (c) 34 sq cm (d) 56 sq cm
  9. 9.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  10. 10.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 16 sq cm (d) 8 sq cm
  11. 11.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
  12. 12.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 54 sq cm (d) 40 sq cm
  13. 13.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 38 sq cm (c) 57 sq cm (d) 42 sq cm
  14. 14.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 8 cm (c) 3 cm (d) 4 cm
  15. 15.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 15 cm (c) 25 cm (d) 30 cm
  16. 16.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 12 cm (b) 6 cm (c) 40 cm (d) 7 cm
  17. 17.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 18 cm (d) 22 cm
  18. 18.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  19. 19.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 48 cm (c) 128 cm (d) 24 cm
  20. 20.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 98 sq cm (c) 112 sq cm (d) 21 sq cm
  21. 21.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 38 cm (c) 21 cm (d) 40 cm
  22. 22.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 162 sq cm (d) 27 sq cm
  23. 23.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 77 cm (b) 36 cm (c) 29 cm (d) 18 cm
  24. 24.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  25. 25.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  26. 26.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 15 sq cm (c) 30 sq cm (d) 63 sq cm
  27. 27.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 24 cm
  28. 28.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 190 cm (c) 22 cm (d) 11 cm
  29. 29.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 24 sq cm (c) 32 sq cm (d) 22 sq cm
  30. 30.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 234 sq cm (c) 60 sq cm (d) 30 sq cm
  31. 31.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 28 sq cm (c) 32 sq cm (d) 42 sq cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
  33. 33.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 120 sq cm (d) 132 sq cm
  34. 34.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 10 cm (c) 11 cm (d) 20 cm
  35. 35.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  36. 36.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 70 sq cm
  37. 37.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 11 cm (d) 24 cm
  38. 38.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 8 cm (c) 5 cm (d) 4 cm
  39. 39.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 50 cm (c) 25 cm (d) 41 cm
  40. 40.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm

Answer key

  1. 25 sq cm
  2. 46 cm
  3. 36 sq cm
  4. 6 cm
  5. 5 cm
  6. 40 sq cm
  7. 108 sq cm
  8. 42 sq cm
  9. 64 sq cm
  10. 12 sq cm
  11. 18 sq cm
  12. 36 sq cm
  13. 38 sq cm
  14. 3 cm
  15. 30 cm
  16. 6 cm
  17. 22 cm
  18. 100 sq cm
  19. 48 cm
  20. 98 sq cm
  21. 42 cm
  22. 162 sq cm
  23. 36 cm
  24. 49 sq cm
  25. 81 sq cm
  26. 54 sq cm
  27. 20 cm
  28. 11 cm
  29. 24 sq cm
  30. 216 sq cm
  31. 28 sq cm
  32. 225 sq cm
  33. 120 sq cm
  34. 10 cm
  35. 196 sq cm
  36. 60 sq cm
  37. 22 cm
  38. 4 cm
  39. 50 cm
  40. 169 sq cm

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