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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 171 · 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 rectangular field is 50 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  3. 3.A wall is 11 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of a square is 6 cm. What is its perimeter (in cm)?
  6. 6.A square has a perimeter of 60 cm. What is its area (in square cm)?
  7. 7.The perimeter of a rectangle is 56 cm and its length is 19 cm. What is its width (in cm)?
  8. 8.From a rectangle 14 cm long and 15 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.From a rectangle 12 cm long and 8 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.The perimeter of a rectangle is 54 cm and its length is 15 cm. What is its width (in cm)?
  12. 12.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  13. 13.A square has a perimeter of 8 cm. What is its area (in square cm)?
  14. 14.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 18 cm long and 13 cm wide, a rectangle 13 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  17. 17.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A wall is 10 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A wall is 12 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A square has a perimeter of 16 cm. What is its area (in square cm)?
  22. 22.From a rectangle 7 cm long and 6 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)?
  23. 23.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a square is 13 cm. What is its perimeter (in cm)?
  27. 27.From a rectangle 11 cm long and 14 cm wide, a rectangle 8 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.From a rectangle 16 cm long and 10 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A square has a perimeter of 64 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  31. 31.A wall is 5 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.From a rectangle 14 cm long and 14 cm wide, a rectangle 9 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.From a rectangle 14 cm long and 6 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of a square is 23 cm. What is its perimeter (in cm)?
  36. 36.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 32 cm. What is its area (in square cm)?
  38. 38.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 2800
  2. 96
  3. 440
  4. 1020
  5. 24
  6. 225
  7. 9
  8. 168
  9. 1520
  10. 60
  11. 12
  12. 5
  13. 4
  14. 700
  15. 182
  16. 128
  17. 160
  18. 700
  19. 2760
  20. 3600
  21. 16
  22. 32
  23. 330
  24. 95
  25. 7000
  26. 52
  27. 98
  28. 136
  29. 256
  30. 7
  31. 250
  32. 88
  33. 9000
  34. 80
  35. 92
  36. 90
  37. 64
  38. 2700
  39. 2560
  40. 1280

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