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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 181 · 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 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 1 cm
  2. 2.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 198 cm (c) 13 cm (d) 12 cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  5. 5.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 48 cm (c) 14 cm (d) 7 cm
  6. 6.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 36 cm (d) 77 cm
  7. 7.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 21 sq cm (d) 18 sq cm
  8. 8.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 33 cm (c) 42 cm (d) 21 cm
  9. 9.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 48 sq cm (c) 56 sq cm (d) 14 sq cm
  10. 10.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 2 cm (c) 20 cm (d) 3 cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  12. 12.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 182 sq cm (c) 26 sq cm (d) 168 sq cm
  13. 13.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 35 sq cm (d) 12 sq cm
  14. 14.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 150 sq cm (c) 24 sq cm (d) 48 sq cm
  15. 15.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 24 sq cm (c) 48 sq cm (d) 143 sq cm
  16. 16.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 140 cm (b) 47 cm (c) 54 cm (d) 27 cm
  17. 17.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 19 sq cm (c) 84 sq cm (d) 38 sq cm
  18. 18.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 35 cm (d) 132 cm
  19. 19.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 17 cm (c) 2 cm (d) 3 cm
  20. 20.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 18 sq cm (c) 36 sq cm (d) 80 sq cm
  21. 21.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 12 cm (d) 32 cm
  22. 22.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 98 sq cm (c) 40 sq cm (d) 84 sq cm
  23. 23.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 64 sq cm (d) 15 sq cm
  24. 24.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 27 sq cm (d) 36 sq cm
  25. 25.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 209 cm (d) 12 cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
  27. 27.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 17 cm (d) 21 cm
  28. 28.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 19 cm (c) 38 cm (d) 29 cm
  29. 29.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 96 cm (b) 40 cm (c) 32 cm (d) 20 cm
  30. 30.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 220 sq cm (c) 200 sq cm (d) 30 sq cm
  31. 31.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
  32. 32.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 30 cm
  33. 33.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
  34. 34.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 24 cm (c) 12 cm (d) 13 cm
  35. 35.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 20 cm (d) 10 cm
  36. 36.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 68 cm (c) 5 cm (d) 6 cm
  37. 37.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
  38. 38.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 30 sq cm (d) 13 sq cm
  39. 39.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 43 cm (c) 50 cm (d) 126 cm
  40. 40.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 19 sq cm (c) 60 sq cm (d) 38 sq cm

Answer key

  1. 2 cm
  2. 12 cm
  3. 49 sq cm
  4. 81 sq cm
  5. 7 cm
  6. 36 cm
  7. 14 sq cm
  8. 42 cm
  9. 48 sq cm
  10. 2 cm
  11. 100 sq cm
  12. 168 sq cm
  13. 35 sq cm
  14. 135 sq cm
  15. 143 sq cm
  16. 54 cm
  17. 70 sq cm
  18. 46 cm
  19. 2 cm
  20. 80 sq cm
  21. 24 cm
  22. 84 sq cm
  23. 56 sq cm
  24. 27 sq cm
  25. 12 cm
  26. 25 sq cm
  27. 20 cm
  28. 38 cm
  29. 40 cm
  30. 200 sq cm
  31. 70 sq cm
  32. 3 cm
  33. 121 sq cm
  34. 12 cm
  35. 20 cm
  36. 5 cm
  37. 44 cm
  38. 30 sq cm
  39. 50 cm
  40. 60 sq cm

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