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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 902 · 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 is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 19 sq cm (d) 9 sq cm
  2. 2.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
  3. 3.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 23 sq cm (c) 46 sq cm (d) 135 sq cm
  4. 4.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 168 cm (b) 40 cm (c) 26 cm (d) 52 cm
  5. 5.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 13 cm (d) 22 cm
  6. 6.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 42 cm (c) 21 cm (d) 90 cm
  7. 7.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
  8. 8.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 209 sq cm (d) 228 sq cm
  9. 9.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 34 cm (c) 17 cm (d) 42 cm
  10. 10.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 18 cm (c) 80 cm (d) 9 cm
  11. 11.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 48 sq cm (c) 26 sq cm (d) 13 sq cm
  12. 12.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 49 sq cm (d) 12 sq cm
  13. 13.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 19 sq cm (c) 38 sq cm (d) 90 sq cm
  14. 14.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 19 cm (d) 18 cm
  15. 15.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 8 cm (c) 84 cm (d) 14 cm
  16. 16.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 12 cm (d) 14 cm
  17. 17.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 18 cm
  18. 18.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 22 cm (c) 44 cm (d) 40 cm
  19. 19.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 13 cm (c) 209 cm (d) 24 cm
  20. 20.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 144 cm
  21. 21.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 40 cm (b) 51 cm (c) 37 cm (d) 20 cm
  22. 22.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 80 sq cm (d) 70 sq cm
  23. 23.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 18 cm (c) 45 cm (d) 36 cm
  24. 24.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 32 sq cm (c) 16 sq cm (d) 72 sq cm
  25. 25.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 16 cm (c) 18 cm (d) 14 cm
  26. 26.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 7 cm (c) 3 cm (d) 4 cm
  27. 27.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
  28. 28.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 17 cm (c) 30 cm (d) 34 cm
  29. 29.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 33 cm (b) 91 cm (c) 20 cm (d) 40 cm
  30. 30.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 120 cm
  31. 31.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 44 cm (c) 114 cm (d) 50 cm
  32. 32.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 15 cm
  33. 33.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 78 cm (c) 38 cm (d) 32 cm
  34. 34.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  35. 35.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 12 cm (c) 35 cm (d) 24 cm
  36. 36.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 40 cm (d) 64 cm
  37. 37.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 198 cm
  38. 38.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 12 cm (c) 154 cm (d) 24 cm
  39. 39.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 18 cm (c) 4 cm (d) 3 cm
  40. 40.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm

Answer key

  1. 18 sq cm
  2. 25 sq cm
  3. 120 sq cm
  4. 52 cm
  5. 26 cm
  6. 42 cm
  7. 100 sq cm
  8. 209 sq cm
  9. 34 cm
  10. 9 cm
  11. 40 sq cm
  12. 36 sq cm
  13. 90 sq cm
  14. 18 cm
  15. 7 cm
  16. 16 cm
  17. 2 cm
  18. 44 cm
  19. 12 cm
  20. 10 cm
  21. 40 cm
  22. 70 sq cm
  23. 36 cm
  24. 63 sq cm
  25. 18 cm
  26. 2 cm
  27. 225 sq cm
  28. 34 cm
  29. 40 cm
  30. 7 cm
  31. 50 cm
  32. 2 cm
  33. 38 cm
  34. 64 sq cm
  35. 24 cm
  36. 40 cm
  37. 12 cm
  38. 12 cm
  39. 3 cm
  40. 16 sq cm

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