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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 402 · 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 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  2. 2.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 77 sq cm (c) 66 sq cm (d) 17 sq cm
  3. 3.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 16 cm (c) 28 cm (d) 32 cm
  4. 4.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 112 sq cm (d) 126 sq cm
  5. 5.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 14 sq cm (c) 40 sq cm (d) 28 sq cm
  6. 6.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 30 sq cm (d) 11 sq cm
  7. 7.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 150 cm (c) 25 cm (d) 40 cm
  8. 8.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
  9. 9.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 180 cm (c) 27 cm (d) 42 cm
  10. 10.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 28 cm (c) 14 cm (d) 25 cm
  11. 11.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 4 cm (c) 7 cm (d) 3 cm
  12. 12.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 114 cm (c) 8 cm (d) 7 cm
  13. 13.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
  14. 14.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
  15. 15.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 80 sq cm (c) 20 sq cm (d) 64 sq cm
  16. 16.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 60 cm
  17. 17.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 16 cm (d) 6 cm
  18. 18.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 7 cm (c) 8 cm (d) 14 cm
  19. 19.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 18 sq cm (d) 32 sq cm
  20. 20.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  21. 21.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 117 cm (d) 11 cm
  22. 22.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 14 cm (d) 28 cm
  23. 23.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 7 cm (c) 85 cm (d) 6 cm
  24. 24.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
  25. 25.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 38 cm (c) 21 cm (d) 42 cm
  26. 26.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 3 cm (c) 6 cm (d) 4 cm
  27. 27.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 22 cm (d) 26 cm
  28. 28.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
  29. 29.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 22 cm (c) 160 cm (d) 11 cm
  30. 30.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 52 sq cm (c) 26 sq cm (d) 182 sq cm
  31. 31.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 11 cm (c) 10 cm (d) 20 cm
  32. 32.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 7 cm (c) 14 cm (d) 8 cm
  33. 33.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  34. 34.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 60 cm (c) 34 cm (d) 29 cm
  35. 35.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 32 cm (d) 36 cm
  36. 36.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 216 sq cm (c) 30 sq cm (d) 234 sq cm
  37. 37.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  38. 38.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 45 cm (d) 162 cm
  39. 39.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 46 sq cm (c) 23 sq cm (d) 90 sq cm
  40. 40.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 21 cm (d) 20 cm

Answer key

  1. 81 sq cm
  2. 66 sq cm
  3. 32 cm
  4. 112 sq cm
  5. 40 sq cm
  6. 30 sq cm
  7. 50 cm
  8. 64 sq cm
  9. 54 cm
  10. 28 cm
  11. 2 cm
  12. 7 cm
  13. 169 sq cm
  14. 12 sq cm
  15. 64 sq cm
  16. 7 cm
  17. 3 cm
  18. 7 cm
  19. 32 sq cm
  20. 196 sq cm
  21. 10 cm
  22. 28 cm
  23. 6 cm
  24. 225 sq cm
  25. 42 cm
  26. 3 cm
  27. 26 cm
  28. 49 sq cm
  29. 11 cm
  30. 168 sq cm
  31. 10 cm
  32. 7 cm
  33. 100 sq cm
  34. 34 cm
  35. 36 cm
  36. 216 sq cm
  37. 121 sq cm
  38. 54 cm
  39. 90 sq cm
  40. 20 cm

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