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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 493 · 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.

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  1. 1.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.The perimeter of a rectangle is 42 cm and its length is 14 cm. What is its width (in cm)?
  3. 3.A square has a perimeter of 48 cm. What is its area (in square cm)?
  4. 4.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  7. 7.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A rectangular field is 100 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A square has a perimeter of 60 cm. What is its area (in square cm)?
  10. 10.The perimeter of a rectangle is 58 cm and its length is 15 cm. What is its width (in cm)?
  11. 11.A square has a perimeter of 24 cm. What is its area (in square cm)?
  12. 12.A wall is 8 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.Each side of a square is 16 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.The perimeter of a rectangle is 62 cm and its length is 19 cm. What is its width (in cm)?
  17. 17.Each side of a square is 3 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 52 cm and its length is 14 cm. What is its width (in cm)?
  19. 19.A square has a perimeter of 40 cm. What is its area (in square cm)?
  20. 20.A square has a perimeter of 12 cm. What is its area (in square cm)?
  21. 21.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  22. 22.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 62 cm and its length is 27 cm. What is its width (in cm)?
  24. 24.From a rectangle 17 cm long and 6 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)?
  25. 25.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A wall is 7 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.From a rectangle 20 cm long and 11 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A wall is 8 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A square has a perimeter of 44 cm. What is its area (in square cm)?
  30. 30.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  33. 33.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.From a rectangle 15 cm long and 6 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)?
  35. 35.From a rectangle 16 cm long and 15 cm wide, a rectangle 7 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.From a rectangle 12 cm long and 9 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 12 cm long and 14 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 1520
  2. 7
  3. 144
  4. 1500
  5. 5600
  6. 2
  7. 3780
  8. 2200
  9. 225
  10. 14
  11. 36
  12. 960
  13. 64
  14. 1190
  15. 6720
  16. 12
  17. 12
  18. 12
  19. 100
  20. 9
  21. 3
  22. 5400
  23. 4
  24. 98
  25. 3000
  26. 1260
  27. 205
  28. 960
  29. 121
  30. 3230
  31. 440
  32. 50
  33. 2730
  34. 78
  35. 177
  36. 102
  37. 2400
  38. 96
  39. 140
  40. 2750

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