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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 909 · 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 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 33 cm (d) 45 cm
  2. 2.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 100 cm (c) 12 cm (d) 6 cm
  3. 3.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 16 cm (d) 10 cm
  4. 4.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 40 cm
  5. 5.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 99 sq cm (c) 110 sq cm (d) 20 sq cm
  6. 6.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 20 cm
  7. 7.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
  8. 8.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 6 cm (c) 3 cm (d) 4 cm
  9. 9.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  11. 11.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 78 cm
  12. 12.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) 11 cm (d) 12 cm
  13. 13.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 26 cm (c) 52 cm (d) 46 cm
  14. 14.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 220 cm
  15. 15.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 52 cm (c) 26 cm (d) 168 cm
  16. 16.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 162 sq cm (b) 27 sq cm (c) 180 sq cm (d) 54 sq cm
  17. 17.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 187 cm
  18. 18.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  19. 19.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
  20. 20.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 24 sq cm (d) 35 sq cm
  21. 21.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 29 cm (c) 34 cm (d) 60 cm
  22. 22.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
  23. 23.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 21 cm (c) 4 cm (d) 8 cm
  24. 24.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  25. 25.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 32 cm (c) 20 cm (d) 96 cm
  26. 26.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 84 sq cm (c) 98 sq cm (d) 40 sq cm
  27. 27.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 30 cm (c) 88 cm (d) 19 cm
  28. 28.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 23 cm (c) 26 cm (d) 30 cm
  29. 29.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 70 cm
  30. 30.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 19 cm (c) 38 cm (d) 34 cm
  31. 31.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 9 sq cm (d) 24 sq cm
  32. 32.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 78 cm (c) 32 cm (d) 19 cm
  33. 33.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 39 sq cm (c) 52 sq cm (d) 32 sq cm
  34. 34.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 16 cm (c) 9 cm (d) 8 cm
  35. 35.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 153 cm (c) 20 cm (d) 10 cm
  36. 36.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 98 cm (c) 21 cm (d) 42 cm
  37. 37.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
  38. 38.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 52 cm (c) 144 cm (d) 26 cm
  39. 39.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 35 cm (c) 19 cm (d) 12 cm
  40. 40.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) 68 cm (d) 10 cm

Answer key

  1. 36 cm
  2. 6 cm
  3. 20 cm
  4. 6 cm
  5. 99 sq cm
  6. 22 cm
  7. 144 sq cm
  8. 3 cm
  9. 36 sq cm
  10. 225 sq cm
  11. 7 cm
  12. 11 cm
  13. 52 cm
  14. 12 cm
  15. 52 cm
  16. 162 sq cm
  17. 12 cm
  18. 100 sq cm
  19. 81 sq cm
  20. 35 sq cm
  21. 34 cm
  22. 64 sq cm
  23. 4 cm
  24. 49 sq cm
  25. 40 cm
  26. 84 sq cm
  27. 38 cm
  28. 26 cm
  29. 6 cm
  30. 38 cm
  31. 18 sq cm
  32. 38 cm
  33. 39 sq cm
  34. 8 cm
  35. 10 cm
  36. 42 cm
  37. 16 sq cm
  38. 52 cm
  39. 24 cm
  40. 5 cm

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