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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 347 · 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 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  3. 3.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 38 cm (b) 25 cm (c) 156 cm (d) 50 cm
  4. 4.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 32 sq cm (c) 72 sq cm (d) 16 sq cm
  5. 5.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 22 sq cm (c) 13 sq cm (d) 33 sq cm
  6. 6.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
  7. 7.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 18 cm (c) 19 cm (d) 9 cm
  8. 8.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 160 sq cm (c) 54 sq cm (d) 140 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) 64 sq cm (d) 16 sq cm
  10. 10.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 8 sq cm (d) 18 sq cm
  11. 11.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 50 sq cm (c) 40 sq cm (d) 28 sq cm
  12. 12.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 52 sq cm (c) 17 sq cm (d) 34 sq cm
  13. 13.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 43 cm (b) 26 cm (c) 153 cm (d) 52 cm
  14. 14.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 14 cm (c) 28 cm (d) 22 cm
  15. 15.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  16. 16.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 5 cm (c) 54 cm (d) 8 cm
  17. 17.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
  18. 18.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 27 sq cm
  19. 19.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 60 cm (c) 30 cm (d) 50 cm
  20. 20.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 4 cm (c) 18 cm (d) 8 cm
  21. 21.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
  22. 22.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 126 sq cm (b) 144 sq cm (c) 25 sq cm (d) 50 sq cm
  23. 23.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 44 cm (d) 30 cm
  24. 24.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 72 cm (c) 14 cm (d) 7 cm
  25. 25.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 30 cm (d) 17 cm
  26. 26.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 32 sq cm (c) 48 sq cm (d) 16 sq cm
  27. 27.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 10 cm (c) 3 cm (d) 6 cm
  28. 28.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 114 sq cm (b) 24 sq cm (c) 48 sq cm (d) 95 sq cm
  29. 29.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
  30. 30.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
  31. 31.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 20 cm (d) 24 cm
  32. 32.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  33. 33.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 209 cm (c) 13 cm (d) 12 cm
  34. 34.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 52 cm (d) 34 cm
  35. 35.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 28 cm (c) 5 cm (d) 6 cm
  36. 36.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 100 sq cm (b) 50 sq cm (c) 25 sq cm (d) 120 sq cm
  37. 37.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 76 sq cm (c) 23 sq cm (d) 95 sq cm
  38. 38.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 36 cm (c) 21 cm (d) 42 cm
  39. 39.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 108 sq cm (b) 126 sq cm (c) 24 sq cm (d) 48 sq cm
  40. 40.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 7 cm (c) 12 cm (d) 6 cm

Answer key

  1. 196 sq cm
  2. 49 sq cm
  3. 50 cm
  4. 63 sq cm
  5. 22 sq cm
  6. 48 cm
  7. 18 cm
  8. 140 sq cm
  9. 64 sq cm
  10. 12 sq cm
  11. 40 sq cm
  12. 52 sq cm
  13. 52 cm
  14. 28 cm
  15. 169 sq cm
  16. 4 cm
  17. 24 cm
  18. 27 sq cm
  19. 60 cm
  20. 4 cm
  21. 121 sq cm
  22. 126 sq cm
  23. 30 cm
  24. 7 cm
  25. 22 cm
  26. 48 sq cm
  27. 3 cm
  28. 95 sq cm
  29. 225 sq cm
  30. 81 sq cm
  31. 20 cm
  32. 36 sq cm
  33. 12 cm
  34. 34 cm
  35. 5 cm
  36. 100 sq cm
  37. 76 sq cm
  38. 42 cm
  39. 108 sq cm
  40. 6 cm

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