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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 338 · 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 has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 48 cm
  2. 2.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 6 cm
  3. 3.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
  4. 4.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 66 sq cm (d) 34 sq cm
  5. 5.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 162 sq cm (c) 27 sq cm (d) 54 sq cm
  6. 6.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 42 sq cm (c) 110 sq cm (d) 21 sq cm
  7. 7.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 28 sq cm (d) 14 sq cm
  8. 8.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 58 cm (c) 47 cm (d) 29 cm
  9. 9.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 8 cm (c) 16 cm (d) 9 cm
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  11. 11.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 16 sq cm (d) 8 sq cm
  12. 12.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 5 cm (c) 28 cm (d) 6 cm
  13. 13.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  14. 14.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 27 sq cm (c) 24 sq cm (d) 12 sq cm
  15. 15.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 18 cm (d) 9 cm
  16. 16.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 29 cm (c) 16 cm (d) 32 cm
  17. 17.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 41 cm (d) 119 cm
  18. 18.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 10 cm (c) 9 cm (d) 18 cm
  19. 19.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 30 sq cm (c) 15 sq cm (d) 60 sq cm
  20. 20.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 108 sq cm (d) 96 sq cm
  21. 21.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 150 sq cm (b) 50 sq cm (c) 165 sq cm (d) 25 sq cm
  22. 22.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
  23. 23.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 12 cm (c) 176 cm (d) 13 cm
  24. 24.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 40 cm
  25. 25.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 9 cm (d) 14 cm
  26. 26.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
  27. 27.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 32 cm (c) 3 cm (d) 6 cm
  28. 28.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  29. 29.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 15 cm (d) 30 cm
  30. 30.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 45 cm (c) 100 cm (d) 25 cm
  31. 31.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
  32. 32.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 22 sq cm (d) 11 sq cm
  33. 33.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 16 sq cm (c) 10 sq cm (d) 20 sq cm
  34. 34.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 25 cm (d) 50 cm
  35. 35.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 42 cm (c) 13 cm (d) 26 cm
  36. 36.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 4 cm (c) 8 cm (d) 5 cm
  37. 37.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
  38. 38.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 27 cm (c) 4 cm (d) 8 cm
  39. 39.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 14 cm
  40. 40.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 95 cm (c) 12 cm (d) 6 cm

Answer key

  1. 4 cm
  2. 2 cm
  3. 28 cm
  4. 66 sq cm
  5. 162 sq cm
  6. 110 sq cm
  7. 24 sq cm
  8. 58 cm
  9. 8 cm
  10. 225 sq cm
  11. 12 sq cm
  12. 5 cm
  13. 36 sq cm
  14. 27 sq cm
  15. 18 cm
  16. 32 cm
  17. 48 cm
  18. 9 cm
  19. 50 sq cm
  20. 96 sq cm
  21. 150 sq cm
  22. 25 sq cm
  23. 12 cm
  24. 3 cm
  25. 18 cm
  26. 81 sq cm
  27. 3 cm
  28. 169 sq cm
  29. 30 cm
  30. 50 cm
  31. 64 sq cm
  32. 18 sq cm
  33. 16 sq cm
  34. 30 cm
  35. 26 cm
  36. 4 cm
  37. 121 sq cm
  38. 4 cm
  39. 3 cm
  40. 6 cm

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