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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 265 · 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 25 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.The perimeter of a rectangle is 78 cm and its length is 28 cm. What is its width (in cm)?
  3. 3.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A wall is 11 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 6 cm long and 8 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A wall is 12 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  11. 11.A wall is 5 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a rectangle is 44 cm and its length is 18 cm. What is its width (in cm)?
  14. 14.The perimeter of a rectangle is 54 cm and its length is 20 cm. What is its width (in cm)?
  15. 15.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A wall is 5 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  19. 19.A square has a perimeter of 48 cm. What is its area (in square cm)?
  20. 20.A square has a perimeter of 36 cm. What is its area (in square cm)?
  21. 21.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A square has a perimeter of 60 cm. What is its area (in square cm)?
  23. 23.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  25. 25.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 8 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.The perimeter of a rectangle is 64 cm and its length is 22 cm. What is its width (in cm)?
  31. 31.A wall is 10 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.From a rectangle 6 cm long and 14 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)?
  33. 33.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 ₹)?
  34. 34.The perimeter of a rectangle is 74 cm and its length is 30 cm. What is its width (in cm)?
  35. 35.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 72 cm and its length is 27 cm. What is its width (in cm)?
  37. 37.Each side of a square is 22 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 14 cm long and 13 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.From a rectangle 6 cm long and 12 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 700
  2. 11
  3. 980
  4. 1100
  5. 1260
  6. 30
  7. 2100
  8. 420
  9. 120
  10. 24
  11. 500
  12. 72
  13. 4
  14. 7
  15. 1050
  16. 625
  17. 270
  18. 2
  19. 144
  20. 81
  21. 1190
  22. 225
  23. 36
  24. 3
  25. 80
  26. 3360
  27. 80
  28. 2210
  29. 2400
  30. 10
  31. 2250
  32. 80
  33. 960
  34. 7
  35. 45
  36. 9
  37. 88
  38. 171
  39. 2200
  40. 69

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