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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 313 · 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 16 cm long and 8 cm wide, a rectangle 14 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A wall is 3 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A wall is 4 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a rectangle is 70 cm and its length is 21 cm. What is its width (in cm)?
  6. 6.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 76 cm. What is its area (in square cm)?
  8. 8.A wall is 8 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.From a rectangle 10 cm long and 11 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.Each side of a square is 18 cm. What is its perimeter (in cm)?
  11. 11.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.From a rectangle 19 cm long and 9 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A wall is 3 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A wall is 8 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  16. 16.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  18. 18.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  19. 19.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  20. 20.Each side of a square is 22 cm. What is its perimeter (in cm)?
  21. 21.A wall is 11 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A square has a perimeter of 60 cm. What is its area (in square cm)?
  24. 24.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  27. 27.A square has a perimeter of 80 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 8 cm long and 9 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  32. 32.From a rectangle 18 cm long and 5 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.From a rectangle 11 cm long and 11 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A wall is 3 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?

Answer key

  1. 72
  2. 360
  3. 300
  4. 36
  5. 14
  6. 540
  7. 361
  8. 640
  9. 83
  10. 72
  11. 200
  12. 155
  13. 300
  14. 1200
  15. 6
  16. 30
  17. 4
  18. 48
  19. 66
  20. 88
  21. 495
  22. 3520
  23. 225
  24. 60
  25. 1150
  26. 32
  27. 400
  28. 3230
  29. 840
  30. 65
  31. 13
  32. 78
  33. 1300
  34. 1820
  35. 490
  36. 103
  37. 132
  38. 2860
  39. 120
  40. 16

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