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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 655 · 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 4 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  3. 3.From a rectangle 6 cm long and 13 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.From a rectangle 9 cm long and 13 cm wide, a rectangle 2 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A square has a perimeter of 48 cm. What is its area (in square cm)?
  6. 6.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  7. 7.Each side of a square is 7 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of a square is 9 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 15 cm long and 5 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)?
  11. 11.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A wall is 3 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.From a rectangle 10 cm long and 7 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A square has a perimeter of 60 cm. What is its area (in square cm)?
  20. 20.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 14 cm long and 9 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of a square is 25 cm. What is its perimeter (in cm)?
  24. 24.Each side of a square is 10 cm. What is its perimeter (in cm)?
  25. 25.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  27. 27.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 76 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
  30. 30.The perimeter of a rectangle is 64 cm and its length is 18 cm. What is its width (in cm)?
  31. 31.From a rectangle 19 cm long and 8 cm wide, a rectangle 13 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  33. 33.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.From a rectangle 8 cm long and 7 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A wall is 11 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A wall is 12 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 240
  2. 60
  3. 66
  4. 95
  5. 144
  6. 40
  7. 28
  8. 3120
  9. 36
  10. 45
  11. 12
  12. 3040
  13. 700
  14. 3380
  15. 2660
  16. 360
  17. 1440
  18. 58
  19. 225
  20. 138
  21. 98
  22. 4200
  23. 100
  24. 40
  25. 600
  26. 152
  27. 60
  28. 361
  29. 2
  30. 14
  31. 126
  32. 120
  33. 560
  34. 400
  35. 41
  36. 825
  37. 20
  38. 1950
  39. 1800
  40. 720

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