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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 142 · 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 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  2. 2.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 9 cm (d) 19 cm
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  4. 4.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 11 cm (d) 12 cm
  5. 5.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 24 cm (d) 15 cm
  6. 6.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
  7. 7.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 22 sq cm (d) 11 sq cm
  8. 8.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 16 sq cm (d) 12 sq cm
  9. 9.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  10. 10.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
  11. 11.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 180 cm (c) 11 cm (d) 10 cm
  12. 12.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 221 sq cm (d) 204 sq cm
  13. 13.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 57 sq cm (d) 38 sq cm
  14. 14.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 54 cm (c) 42 cm (d) 39 cm
  15. 15.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  16. 16.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 200 cm (c) 50 cm (d) 60 cm
  17. 17.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 16 cm (c) 112 cm (d) 8 cm
  18. 18.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 11 sq cm (d) 30 sq cm
  19. 19.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 12 cm (d) 8 cm
  20. 20.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 27 sq cm (b) 192 sq cm (c) 54 sq cm (d) 176 sq cm
  21. 21.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 46 sq cm (b) 132 sq cm (c) 144 sq cm (d) 23 sq cm
  22. 22.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 216 cm (d) 48 cm
  23. 23.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 105 sq cm (c) 21 sq cm (d) 42 sq cm
  24. 24.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 30 cm (d) 32 cm
  25. 25.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 32 cm (c) 16 cm (d) 28 cm
  26. 26.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 14 cm (c) 28 cm (d) 23 cm
  27. 27.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  28. 28.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 56 sq cm (d) 42 sq cm
  29. 29.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 55 sq cm (c) 15 sq cm (d) 30 sq cm
  30. 30.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
  31. 31.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 33 cm (c) 14 cm (d) 28 cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  33. 33.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 100 cm
  34. 34.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 28 cm (d) 18 cm
  35. 35.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 60 cm (c) 43 cm (d) 46 cm
  36. 36.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 36 cm (d) 130 cm
  37. 37.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 22 sq cm (c) 26 sq cm (d) 13 sq cm
  38. 38.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 32 cm
  39. 39.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 27 cm
  40. 40.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 32 cm (c) 34 cm (d) 18 cm

Answer key

  1. 100 sq cm
  2. 18 cm
  3. 25 sq cm
  4. 11 cm
  5. 30 cm
  6. 36 sq cm
  7. 24 sq cm
  8. 12 sq cm
  9. 64 sq cm
  10. 169 sq cm
  11. 10 cm
  12. 204 sq cm
  13. 38 sq cm
  14. 42 cm
  15. 27 sq cm
  16. 60 cm
  17. 8 cm
  18. 30 sq cm
  19. 16 cm
  20. 176 sq cm
  21. 132 sq cm
  22. 60 cm
  23. 90 sq cm
  24. 32 cm
  25. 32 cm
  26. 28 cm
  27. 121 sq cm
  28. 42 sq cm
  29. 44 sq cm
  30. 49 sq cm
  31. 28 cm
  32. 225 sq cm
  33. 6 cm
  34. 22 cm
  35. 46 cm
  36. 46 cm
  37. 22 sq cm
  38. 5 cm
  39. 4 cm
  40. 36 cm

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