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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 275 · 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 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
  2. 2.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 26 cm (d) 36 cm
  3. 3.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 25 cm (c) 136 cm (d) 50 cm
  4. 4.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  5. 5.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 34 sq cm (c) 17 sq cm (d) 45 sq cm
  6. 6.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 50 sq cm (c) 60 sq cm (d) 30 sq cm
  7. 7.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 56 sq cm (c) 15 sq cm (d) 30 sq cm
  8. 8.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
  9. 9.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 4 cm (c) 45 cm (d) 5 cm
  10. 10.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 154 sq cm (b) 48 sq cm (c) 24 sq cm (d) 140 sq cm
  11. 11.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 20 cm (c) 11 cm (d) 10 cm
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
  13. 13.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 80 sq cm (c) 21 sq cm (d) 96 sq cm
  14. 14.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
  15. 15.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 28 cm (d) 36 cm
  16. 16.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
  17. 17.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 54 cm
  18. 18.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 32 cm
  19. 19.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
  20. 20.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 27 sq cm
  21. 21.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  22. 22.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  23. 23.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 5 cm (d) 10 cm
  24. 24.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 44 cm (c) 38 cm (d) 22 cm
  25. 25.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 24 cm (c) 13 cm (d) 12 cm
  26. 26.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 60 cm (b) 19 cm (c) 34 cm (d) 38 cm
  27. 27.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 22 sq cm (d) 11 sq cm
  28. 28.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 108 cm (b) 48 cm (c) 42 cm (d) 24 cm
  29. 29.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 20 cm (c) 162 cm (d) 11 cm
  30. 30.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 50 cm (c) 39 cm (d) 25 cm
  31. 31.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 28 sq cm (c) 14 sq cm (d) 36 sq cm
  32. 32.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 48 cm (b) 5 cm (c) 6 cm (d) 10 cm
  33. 33.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 144 cm
  34. 34.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 180 cm
  35. 35.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) 6 cm (d) 3 cm
  36. 36.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
  37. 37.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
  38. 38.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 90 cm (c) 42 cm (d) 36 cm
  39. 39.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 32 sq cm (d) 28 sq cm
  40. 40.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 20 sq cm (c) 104 sq cm (d) 40 sq cm

Answer key

  1. 64 sq cm
  2. 26 cm
  3. 50 cm
  4. 25 sq cm
  5. 30 sq cm
  6. 50 sq cm
  7. 56 sq cm
  8. 49 sq cm
  9. 4 cm
  10. 140 sq cm
  11. 10 cm
  12. 225 sq cm
  13. 80 sq cm
  14. 81 sq cm
  15. 36 cm
  16. 121 sq cm
  17. 7 cm
  18. 24 cm
  19. 20 cm
  20. 27 sq cm
  21. 100 sq cm
  22. 196 sq cm
  23. 5 cm
  24. 44 cm
  25. 12 cm
  26. 38 cm
  27. 30 sq cm
  28. 48 cm
  29. 10 cm
  30. 50 cm
  31. 24 sq cm
  32. 5 cm
  33. 9 cm
  34. 11 cm
  35. 3 cm
  36. 6 cm
  37. 169 sq cm
  38. 42 cm
  39. 28 sq cm
  40. 91 sq cm

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