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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 483 · 40 sums
TalentJR

The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.

NameDateTime takenScore ___ / 40
  1. 1.From a rectangle 18 cm long and 7 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 10 cm long and 11 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.Each side of a square is 4 cm. What is its perimeter (in cm)?
  5. 5.From a rectangle 20 cm long and 6 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A wall is 12 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.From a rectangle 10 cm long and 6 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.From a rectangle 10 cm long and 6 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  11. 11.A wall is 10 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A square has a perimeter of 76 cm. What is its area (in square cm)?
  13. 13.A wall is 10 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
  18. 18.Each side of a square is 10 cm. What is its perimeter (in cm)?
  19. 19.A square has a perimeter of 40 cm. What is its area (in square cm)?
  20. 20.A wall is 9 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A wall is 4 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 62 cm and its length is 27 cm. What is its width (in cm)?
  25. 25.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of a square is 18 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 74 cm and its length is 20 cm. What is its width (in cm)?
  29. 29.A square has a perimeter of 72 cm. What is its area (in square cm)?
  30. 30.A wall is 4 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  32. 32.A square has a perimeter of 68 cm. What is its area (in square cm)?
  33. 33.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  34. 34.The perimeter of a rectangle is 54 cm and its length is 20 cm. What is its width (in cm)?
  35. 35.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  36. 36.Each side of a square is 7 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 8 cm. What is its area (in square cm)?
  38. 38.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A square has a perimeter of 24 cm. What is its area (in square cm)?
  40. 40.Each side of a square is 20 cm. What is its perimeter (in cm)?

Answer key

  1. 122
  2. 600
  3. 94
  4. 16
  5. 110
  6. 2880
  7. 58
  8. 3740
  9. 39
  10. 4
  11. 1400
  12. 361
  13. 3000
  14. 600
  15. 12
  16. 6
  17. 4
  18. 40
  19. 100
  20. 1620
  21. 300
  22. 600
  23. 630
  24. 4
  25. 90
  26. 1020
  27. 72
  28. 17
  29. 324
  30. 280
  31. 60
  32. 289
  33. 3
  34. 7
  35. 7
  36. 28
  37. 4
  38. 400
  39. 36
  40. 80

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