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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 686 · 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 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 200 cm
  2. 2.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 17 cm (c) 34 cm (d) 60 cm
  3. 3.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 39 cm (b) 135 cm (c) 48 cm (d) 24 cm
  4. 4.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 45 cm (c) 7 cm (d) 12 cm
  5. 5.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 39 cm (c) 154 cm (d) 50 cm
  6. 6.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 30 cm (c) 19 cm (d) 38 cm
  7. 7.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 90 cm (c) 29 cm (d) 38 cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  10. 10.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 7 cm (c) 12 cm (d) 6 cm
  11. 11.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 55 cm (c) 16 cm (d) 32 cm
  12. 12.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 36 cm
  13. 13.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 36 sq cm (c) 18 sq cm (d) 56 sq cm
  14. 14.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 47 cm (b) 56 cm (c) 171 cm (d) 28 cm
  15. 15.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 12 cm
  16. 16.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 108 sq cm (c) 40 sq cm (d) 96 sq cm
  17. 17.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  18. 18.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
  19. 19.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 4 cm (c) 3 cm (d) 2 cm
  20. 20.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 68 cm
  21. 21.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
  22. 22.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 34 cm (c) 20 cm (d) 84 cm
  23. 23.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 24 cm (c) 198 cm (d) 13 cm
  24. 24.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 140 cm (c) 48 cm (d) 38 cm
  25. 25.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
  26. 26.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 114 cm (c) 50 cm (d) 25 cm
  27. 27.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 50 sq cm (b) 156 sq cm (c) 169 sq cm (d) 25 sq cm
  28. 28.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 6 cm (c) 5 cm (d) 10 cm
  29. 29.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 52 cm (c) 17 cm (d) 34 cm
  30. 30.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 24 cm (d) 13 cm
  31. 31.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 48 sq cm (d) 56 sq cm
  32. 32.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 126 cm
  33. 33.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 12 cm (d) 22 cm
  34. 34.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  35. 35.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 60 sq cm (c) 44 sq cm (d) 40 sq cm
  36. 36.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  37. 37.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 10 sq cm (d) 16 sq cm
  38. 38.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 60 sq cm (d) 45 sq cm
  39. 39.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 20 sq cm (c) 80 sq cm (d) 40 sq cm
  40. 40.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 36 sq cm (d) 22 sq cm

Answer key

  1. 11 cm
  2. 34 cm
  3. 48 cm
  4. 6 cm
  5. 50 cm
  6. 38 cm
  7. 38 cm
  8. 169 sq cm
  9. 144 sq cm
  10. 6 cm
  11. 32 cm
  12. 4 cm
  13. 56 sq cm
  14. 56 cm
  15. 3 cm
  16. 96 sq cm
  17. 25 sq cm
  18. 11 cm
  19. 2 cm
  20. 5 cm
  21. 121 sq cm
  22. 40 cm
  23. 12 cm
  24. 48 cm
  25. 100 sq cm
  26. 50 cm
  27. 156 sq cm
  28. 5 cm
  29. 34 cm
  30. 26 cm
  31. 48 sq cm
  32. 10 cm
  33. 24 cm
  34. 49 sq cm
  35. 40 sq cm
  36. 196 sq cm
  37. 16 sq cm
  38. 45 sq cm
  39. 64 sq cm
  40. 30 sq cm

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