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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 173 · 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 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 7 cm (c) 12 cm (d) 6 cm
  2. 2.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 6 cm (c) 3 cm (d) 4 cm
  3. 3.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 22 cm (c) 12 cm (d) 11 cm
  4. 4.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 14 sq cm (d) 64 sq cm
  5. 5.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 136 sq cm (c) 24 sq cm (d) 119 sq cm
  6. 6.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 24 cm (d) 16 cm
  7. 7.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 170 sq cm (c) 27 sq cm (d) 54 sq cm
  8. 8.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 150 cm (c) 11 cm (d) 22 cm
  9. 9.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 190 sq cm (c) 29 sq cm (d) 209 sq cm
  10. 10.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 85 cm (c) 44 cm (d) 22 cm
  11. 11.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
  12. 12.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 60 sq cm (c) 46 sq cm (d) 23 sq cm
  13. 13.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 135 sq cm (c) 150 sq cm (d) 24 sq cm
  14. 14.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  15. 15.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 12 cm (d) 24 cm
  16. 16.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
  17. 17.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 12 cm (c) 6 cm (d) 3 cm
  18. 18.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  19. 19.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
  20. 20.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 5 cm (c) 8 cm (d) 4 cm
  21. 21.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 6 cm (c) 26 cm (d) 4 cm
  22. 22.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 18 sq cm (d) 11 sq cm
  23. 23.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 32 cm (d) 96 cm
  24. 24.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 13 sq cm (d) 26 sq cm
  25. 25.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
  26. 26.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 10 sq cm (c) 21 sq cm (d) 20 sq cm
  27. 27.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 10 cm (c) 9 cm (d) 18 cm
  28. 28.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 100 sq cm (d) 18 sq cm
  29. 29.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 44 sq cm (c) 22 sq cm (d) 57 sq cm
  30. 30.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 96 cm (c) 18 cm (d) 9 cm
  31. 31.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
  32. 32.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 30 cm (d) 72 cm
  33. 33.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  34. 34.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
  35. 35.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 76 cm (c) 6 cm (d) 10 cm
  36. 36.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
  37. 37.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 64 cm (c) 36 cm (d) 40 cm
  38. 38.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 195 sq cm (d) 27 sq cm
  39. 39.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 6 cm (c) 10 cm (d) 5 cm
  40. 40.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 171 cm (c) 47 cm (d) 28 cm

Answer key

  1. 6 cm
  2. 3 cm
  3. 11 cm
  4. 49 sq cm
  5. 119 sq cm
  6. 20 cm
  7. 170 sq cm
  8. 11 cm
  9. 190 sq cm
  10. 44 cm
  11. 36 sq cm
  12. 60 sq cm
  13. 135 sq cm
  14. 27 sq cm
  15. 24 cm
  16. 24 sq cm
  17. 3 cm
  18. 169 sq cm
  19. 225 sq cm
  20. 4 cm
  21. 3 cm
  22. 18 sq cm
  23. 40 cm
  24. 42 sq cm
  25. 100 sq cm
  26. 21 sq cm
  27. 9 cm
  28. 81 sq cm
  29. 57 sq cm
  30. 9 cm
  31. 22 cm
  32. 36 cm
  33. 196 sq cm
  34. 25 sq cm
  35. 5 cm
  36. 64 sq cm
  37. 40 cm
  38. 180 sq cm
  39. 5 cm
  40. 56 cm

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