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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 78 · 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.A wall is 7 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 66 cm and its length is 19 cm. What is its width (in cm)?
  3. 3.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  4. 4.Each side of a square is 2 cm. What is its perimeter (in cm)?
  5. 5.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  6. 6.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  7. 7.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.The perimeter of a rectangle is 46 cm and its length is 19 cm. What is its width (in cm)?
  9. 9.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  10. 10.The perimeter of a rectangle is 56 cm and its length is 22 cm. What is its width (in cm)?
  11. 11.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  12. 12.From a rectangle 7 cm long and 15 cm wide, a rectangle 4 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A wall is 9 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A square has a perimeter of 44 cm. What is its area (in square cm)?
  15. 15.The perimeter of a rectangle is 54 cm and its length is 15 cm. What is its width (in cm)?
  16. 16.A wall is 11 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
  18. 18.Each side of a square is 9 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.From a rectangle 20 cm long and 7 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.From a rectangle 19 cm long and 15 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.Each side of a square is 5 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 52 cm and its length is 18 cm. What is its width (in cm)?
  25. 25.A square has a perimeter of 76 cm. What is its area (in square cm)?
  26. 26.Each side of a square is 3 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
  28. 28.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.From a rectangle 7 cm long and 12 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  32. 32.The perimeter of a rectangle is 44 cm and its length is 15 cm. What is its width (in cm)?
  33. 33.A wall is 7 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.From a rectangle 16 cm long and 12 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A square has a perimeter of 36 cm. What is its area (in square cm)?
  36. 36.A square has a perimeter of 64 cm. What is its area (in square cm)?
  37. 37.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  39. 39.A wall is 5 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A wall is 9 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 210
  2. 14
  3. 10
  4. 8
  5. 30
  6. 90
  7. 150
  8. 4
  9. 7
  10. 6
  11. 15
  12. 61
  13. 1890
  14. 121
  15. 12
  16. 770
  17. 8
  18. 36
  19. 3900
  20. 980
  21. 130
  22. 255
  23. 20
  24. 8
  25. 361
  26. 12
  27. 9
  28. 2760
  29. 60
  30. 1600
  31. 126
  32. 7
  33. 1050
  34. 156
  35. 81
  36. 256
  37. 3500
  38. 30
  39. 500
  40. 360

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