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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 686 · 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 11 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a square is 5 cm. What is its perimeter (in cm)?
  3. 3.A square has a perimeter of 28 cm. What is its area (in square cm)?
  4. 4.A wall is 5 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  7. 7.From a rectangle 17 cm long and 15 cm wide, a rectangle 4 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.From a rectangle 8 cm long and 12 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)?
  9. 9.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.Each side of a square is 7 cm. What is its perimeter (in 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.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.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 ₹)?
  14. 14.A square has a perimeter of 80 cm. What is its area (in square cm)?
  15. 15.From a rectangle 8 cm long and 11 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)?
  16. 16.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.From a rectangle 16 cm long and 7 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  19. 19.From a rectangle 9 cm long and 5 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A wall is 6 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  22. 22.A square has a perimeter of 60 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 62 cm and its length is 29 cm. What is its width (in cm)?
  24. 24.The perimeter of a rectangle is 90 cm and its length is 25 cm. What is its width (in cm)?
  25. 25.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  26. 26.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  27. 27.A wall is 4 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  29. 29.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  30. 30.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  31. 31.A square has a perimeter of 8 cm. What is its area (in square cm)?
  32. 32.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  34. 34.The perimeter of a rectangle is 86 cm and its length is 24 cm. What is its width (in cm)?
  35. 35.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  36. 36.A wall is 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.From a rectangle 17 cm long and 12 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.From a rectangle 20 cm long and 11 cm wide, a rectangle 16 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?

Answer key

  1. 440
  2. 20
  3. 49
  4. 300
  5. 2700
  6. 2
  7. 207
  8. 92
  9. 1540
  10. 28
  11. 12
  12. 1680
  13. 700
  14. 400
  15. 83
  16. 2280
  17. 88
  18. 5
  19. 39
  20. 630
  21. 13
  22. 225
  23. 2
  24. 20
  25. 45
  26. 85
  27. 240
  28. 6
  29. 8
  30. 15
  31. 4
  32. 1400
  33. 3
  34. 19
  35. 3
  36. 375
  37. 191
  38. 3850
  39. 188
  40. 54

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