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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 736 · 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 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 18 cm (d) 10 cm
  2. 2.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 48 sq cm (b) 128 sq cm (c) 24 sq cm (d) 144 sq cm
  3. 3.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 22 sq cm (d) 28 sq cm
  4. 4.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 10 cm (c) 68 cm (d) 6 cm
  5. 5.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 30 sq cm (d) 36 sq cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  7. 7.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  8. 8.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 22 sq cm (c) 44 sq cm (d) 90 sq cm
  9. 9.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 13 cm (d) 12 cm
  10. 10.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 10 sq cm (d) 30 sq cm
  11. 11.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 14 sq cm (c) 18 sq cm (d) 21 sq cm
  12. 12.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 38 cm (b) 84 cm (c) 31 cm (d) 19 cm
  13. 13.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 72 cm (c) 14 cm (d) 7 cm
  14. 14.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 52 sq cm (c) 152 sq cm (d) 26 sq cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  16. 16.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 32 cm (c) 25 cm (d) 16 cm
  17. 17.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 15 cm (c) 30 cm (d) 54 cm
  18. 18.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 4 cm (c) 3 cm (d) 2 cm
  19. 19.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 32 cm (c) 78 cm (d) 38 cm
  20. 20.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  21. 21.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 52 cm
  22. 22.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 65 cm
  23. 23.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 41 cm (c) 50 cm (d) 144 cm
  24. 24.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  25. 25.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 40 sq cm (d) 68 sq cm
  26. 26.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 40 cm (c) 6 cm (d) 12 cm
  27. 27.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  28. 28.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  29. 29.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 102 cm (c) 40 cm (d) 46 cm
  30. 30.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 26 sq cm (c) 22 sq cm (d) 13 sq cm
  31. 31.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 80 cm
  32. 32.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 120 cm (c) 7 cm (d) 8 cm
  33. 33.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 102 cm
  34. 34.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 40 cm (d) 42 cm
  35. 35.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 40 sq cm (d) 32 sq cm
  36. 36.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  37. 37.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 49 sq cm (c) 42 sq cm (d) 26 sq cm
  38. 38.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 36 sq cm (d) 26 sq cm
  39. 39.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 12 sq cm (d) 30 sq cm
  40. 40.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 119 cm (c) 16 cm (d) 8 cm

Answer key

  1. 20 cm
  2. 128 sq cm
  3. 28 sq cm
  4. 5 cm
  5. 30 sq cm
  6. 196 sq cm
  7. 64 sq cm
  8. 72 sq cm
  9. 12 cm
  10. 24 sq cm
  11. 14 sq cm
  12. 38 cm
  13. 7 cm
  14. 133 sq cm
  15. 100 sq cm
  16. 32 cm
  17. 30 cm
  18. 2 cm
  19. 38 cm
  20. 49 sq cm
  21. 5 cm
  22. 6 cm
  23. 50 cm
  24. 81 sq cm
  25. 51 sq cm
  26. 6 cm
  27. 25 sq cm
  28. 225 sq cm
  29. 46 cm
  30. 22 sq cm
  31. 5 cm
  32. 7 cm
  33. 7 cm
  34. 42 cm
  35. 32 sq cm
  36. 36 sq cm
  37. 42 sq cm
  38. 36 sq cm
  39. 20 sq cm
  40. 8 cm

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