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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 112 · 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 5 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  3. 3.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  6. 6.From a rectangle 20 cm long and 9 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
  8. 8.A wall is 4 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.From a rectangle 13 cm long and 5 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
  11. 11.A square has a perimeter of 20 cm. What is its area (in square cm)?
  12. 12.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 4 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A wall is 9 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a square is 2 cm. What is its perimeter (in cm)?
  16. 16.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  17. 17.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  18. 18.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 44 cm and its length is 18 cm. What is its width (in cm)?
  21. 21.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 11 cm long and 10 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A square has a perimeter of 32 cm. What is its area (in square cm)?
  24. 24.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.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 ₹)?
  26. 26.From a rectangle 7 cm long and 7 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A square has a perimeter of 48 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 40 cm. What is its area (in square cm)?
  30. 30.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A square has a perimeter of 16 cm. What is its area (in square cm)?
  32. 32.From a rectangle 8 cm long and 9 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A wall is 7 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
  35. 35.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A wall is 10 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.The perimeter of a rectangle is 82 cm and its length is 29 cm. What is its width (in cm)?
  38. 38.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 14 cm long and 10 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)?

Answer key

  1. 700
  2. 3
  3. 25
  4. 1620
  5. 4
  6. 160
  7. 2
  8. 600
  9. 45
  10. 10
  11. 25
  12. 1050
  13. 120
  14. 540
  15. 8
  16. 42
  17. 60
  18. 720
  19. 150
  20. 4
  21. 192
  22. 105
  23. 64
  24. 5510
  25. 120
  26. 48
  27. 144
  28. 4400
  29. 100
  30. 1610
  31. 16
  32. 69
  33. 700
  34. 9
  35. 720
  36. 300
  37. 12
  38. 1700
  39. 96
  40. 128

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