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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 634 · 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 rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 42 cm (c) 21 cm (d) 110 cm
  2. 2.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  3. 3.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  4. 4.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 18 cm (d) 9 cm
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
  6. 6.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 52 cm (b) 45 cm (c) 133 cm (d) 26 cm
  7. 7.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 51 cm (c) 31 cm (d) 62 cm
  8. 8.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 63 sq cm (c) 72 sq cm (d) 32 sq cm
  9. 9.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 126 cm (c) 46 cm (d) 37 cm
  10. 10.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 30 sq cm (c) 17 sq cm (d) 34 sq cm
  11. 11.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
  12. 12.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 4 cm (c) 8 cm (d) 5 cm
  13. 13.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 15 cm (c) 36 cm (d) 30 cm
  14. 14.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  16. 16.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 27 sq cm
  17. 17.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  18. 18.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 49 cm (d) 209 cm
  19. 19.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 28 sq cm (c) 180 sq cm (d) 56 sq cm
  20. 20.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 90 sq cm (d) 72 sq cm
  21. 21.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 4 cm (c) 5 cm (d) 8 cm
  22. 22.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 95 cm (b) 43 cm (c) 24 cm (d) 48 cm
  23. 23.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  24. 24.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 30 sq cm (c) 11 sq cm (d) 36 sq cm
  25. 25.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 4 cm (c) 8 cm (d) 5 cm
  26. 26.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 28 cm
  27. 27.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 48 cm (c) 14 cm (d) 28 cm
  28. 28.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 30 sq cm (c) 15 sq cm (d) 36 sq cm
  29. 29.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
  30. 30.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
  31. 31.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 10 cm (d) 18 cm
  32. 32.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 50 sq cm (c) 14 sq cm (d) 28 sq cm
  33. 33.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  34. 34.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 20 cm (c) 75 cm (d) 40 cm
  35. 35.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 11 cm (c) 180 cm (d) 20 cm
  36. 36.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 6 cm (c) 12 cm (d) 7 cm
  37. 37.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 48 cm (d) 216 cm
  38. 38.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 126 sq cm (d) 108 sq cm
  39. 39.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 4 cm (c) 22 cm (d) 3 cm
  40. 40.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 27 cm (c) 34 cm (d) 17 cm

Answer key

  1. 42 cm
  2. 36 sq cm
  3. 144 sq cm
  4. 18 cm
  5. 64 sq cm
  6. 52 cm
  7. 62 cm
  8. 63 sq cm
  9. 46 cm
  10. 30 sq cm
  11. 204 sq cm
  12. 4 cm
  13. 30 cm
  14. 121 sq cm
  15. 100 sq cm
  16. 27 sq cm
  17. 49 sq cm
  18. 60 cm
  19. 180 sq cm
  20. 72 sq cm
  21. 4 cm
  22. 48 cm
  23. 81 sq cm
  24. 30 sq cm
  25. 4 cm
  26. 22 cm
  27. 28 cm
  28. 36 sq cm
  29. 225 sq cm
  30. 169 sq cm
  31. 20 cm
  32. 40 sq cm
  33. 196 sq cm
  34. 40 cm
  35. 10 cm
  36. 6 cm
  37. 60 cm
  38. 108 sq cm
  39. 3 cm
  40. 34 cm

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