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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 324 · 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 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 2 cm (c) 4 cm (d) 3 cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
  3. 3.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 30 cm (d) 17 cm
  4. 4.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 26 cm (d) 24 cm
  5. 5.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 180 cm (d) 46 cm
  6. 6.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  7. 7.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
  8. 8.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 150 sq cm (c) 48 sq cm (d) 24 sq cm
  9. 9.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 40 sq cm (d) 13 sq cm
  10. 10.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 75 cm (c) 7 cm (d) 6 cm
  11. 11.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 10 cm (d) 24 cm
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  13. 13.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 234 sq cm (b) 60 sq cm (c) 216 sq cm (d) 30 sq cm
  14. 14.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 22 cm (c) 12 cm (d) 11 cm
  15. 15.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 7 cm
  16. 16.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 50 sq cm (c) 15 sq cm (d) 30 sq cm
  17. 17.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 70 sq cm (d) 80 sq cm
  18. 18.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 108 cm (d) 33 cm
  19. 19.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 8 cm (c) 7 cm (d) 14 cm
  20. 20.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 70 sq cm (c) 56 sq cm (d) 18 sq cm
  21. 21.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 4 cm (c) 3 cm (d) 2 cm
  22. 22.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  23. 23.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 12 cm (b) 6 cm (c) 40 cm (d) 7 cm
  24. 24.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 22 cm (d) 11 cm
  25. 25.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 28 cm (c) 14 cm (d) 45 cm
  26. 26.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 64 sq cm (c) 38 sq cm (d) 19 sq cm
  27. 27.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 144 cm
  28. 28.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 26 cm (d) 13 cm
  29. 29.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
  30. 30.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 26 cm (d) 24 cm
  31. 31.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 17 cm (c) 60 cm (d) 34 cm
  32. 32.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  33. 33.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 96 cm (c) 14 cm (d) 7 cm
  34. 34.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 54 cm
  35. 35.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 70 cm (c) 9 cm (d) 8 cm
  36. 36.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 4 cm (c) 3 cm (d) 2 cm
  37. 37.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 32 cm (c) 56 cm (d) 36 cm
  38. 38.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 10 cm (c) 160 cm (d) 9 cm
  39. 39.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  40. 40.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 136 sq cm (d) 153 sq cm

Answer key

  1. 2 cm
  2. 144 sq cm
  3. 22 cm
  4. 26 cm
  5. 56 cm
  6. 121 sq cm
  7. 81 sq cm
  8. 135 sq cm
  9. 40 sq cm
  10. 6 cm
  11. 20 cm
  12. 196 sq cm
  13. 216 sq cm
  14. 11 cm
  15. 2 cm
  16. 50 sq cm
  17. 70 sq cm
  18. 42 cm
  19. 7 cm
  20. 56 sq cm
  21. 2 cm
  22. 100 sq cm
  23. 6 cm
  24. 22 cm
  25. 28 cm
  26. 48 sq cm
  27. 10 cm
  28. 26 cm
  29. 6 cm
  30. 28 cm
  31. 34 cm
  32. 25 sq cm
  33. 7 cm
  34. 4 cm
  35. 8 cm
  36. 2 cm
  37. 36 cm
  38. 9 cm
  39. 225 sq cm
  40. 136 sq cm

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