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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 293 · 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 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  2. 2.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 114 sq cm (b) 50 sq cm (c) 25 sq cm (d) 133 sq cm
  3. 3.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 85 cm (b) 22 cm (c) 39 cm (d) 44 cm
  4. 4.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  5. 5.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 36 cm (b) 4 cm (c) 3 cm (d) 6 cm
  6. 6.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 42 sq cm (c) 56 sq cm (d) 17 sq cm
  7. 7.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 110 sq cm (c) 20 sq cm (d) 99 sq cm
  8. 8.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 50 sq cm (d) 40 sq cm
  9. 9.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 40 sq cm (d) 32 sq cm
  10. 10.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 9 sq cm (d) 18 sq cm
  11. 11.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) 3 cm (d) 22 cm
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  13. 13.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  14. 14.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 90 sq cm (d) 108 sq cm
  15. 15.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 72 sq cm (c) 34 sq cm (d) 17 sq cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  17. 17.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 30 sq cm (c) 34 sq cm (d) 45 sq cm
  18. 18.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
  19. 19.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 40 cm (d) 64 cm
  20. 20.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 33 cm (c) 38 cm (d) 19 cm
  21. 21.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 18 sq cm (d) 8 sq cm
  22. 22.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 240 sq cm (d) 260 sq cm
  23. 23.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 180 cm
  24. 24.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 13 sq cm (c) 49 sq cm (d) 26 sq cm
  25. 25.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 85 cm
  26. 26.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  27. 27.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
  28. 28.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 126 sq cm (b) 25 sq cm (c) 144 sq cm (d) 50 sq cm
  29. 29.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 26 cm (d) 13 cm
  30. 30.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 34 cm (c) 17 cm (d) 70 cm
  31. 31.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 20 cm (c) 99 cm (d) 10 cm
  32. 32.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 140 sq cm (c) 23 sq cm (d) 126 sq cm
  33. 33.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 36 cm (d) 13 cm
  34. 34.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 26 cm (c) 20 cm (d) 13 cm
  35. 35.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  36. 36.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 44 sq cm (c) 22 sq cm (d) 112 sq cm
  37. 37.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 140 sq cm (b) 160 sq cm (c) 27 sq cm (d) 54 sq cm
  38. 38.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 21 sq cm (d) 10 sq cm
  39. 39.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 29 sq cm (b) 198 sq cm (c) 216 sq cm (d) 58 sq cm
  40. 40.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 10 cm (c) 96 cm (d) 9 cm

Answer key

  1. 169 sq cm
  2. 114 sq cm
  3. 44 cm
  4. 100 sq cm
  5. 3 cm
  6. 42 sq cm
  7. 99 sq cm
  8. 40 sq cm
  9. 32 sq cm
  10. 14 sq cm
  11. 3 cm
  12. 196 sq cm
  13. 36 sq cm
  14. 90 sq cm
  15. 72 sq cm
  16. 25 sq cm
  17. 30 sq cm
  18. 144 sq cm
  19. 40 cm
  20. 38 cm
  21. 12 sq cm
  22. 240 sq cm
  23. 11 cm
  24. 42 sq cm
  25. 6 cm
  26. 49 sq cm
  27. 225 sq cm
  28. 126 sq cm
  29. 26 cm
  30. 34 cm
  31. 10 cm
  32. 126 sq cm
  33. 26 cm
  34. 26 cm
  35. 64 sq cm
  36. 96 sq cm
  37. 140 sq cm
  38. 21 sq cm
  39. 198 sq cm
  40. 9 cm

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