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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 472 · 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.From a rectangle 12 cm long and 12 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A square has a perimeter of 32 cm. What is its area (in square cm)?
  3. 3.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 40 cm and its length is 15 cm. What is its width (in cm)?
  5. 5.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 ₹)?
  6. 6.A wall is 7 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  8. 8.The perimeter of a rectangle is 94 cm and its length is 28 cm. What is its width (in cm)?
  9. 9.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  10. 10.Each side of a square is 20 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A wall is 12 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  14. 14.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a rectangle is 54 cm and its length is 17 cm. What is its width (in cm)?
  16. 16.From a rectangle 8 cm long and 8 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A wall is 10 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.The perimeter of a rectangle is 88 cm and its length is 24 cm. What is its width (in cm)?
  28. 28.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.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 ₹)?
  30. 30.A square has a perimeter of 36 cm. What is its area (in square cm)?
  31. 31.A square has a perimeter of 44 cm. What is its area (in square cm)?
  32. 32.A square has a perimeter of 40 cm. What is its area (in square cm)?
  33. 33.From a rectangle 9 cm long and 8 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A square has a perimeter of 8 cm. What is its area (in square cm)?
  35. 35.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  38. 38.A wall is 8 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.From a rectangle 6 cm long and 10 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.The perimeter of a rectangle is 64 cm and its length is 22 cm. What is its width (in cm)?

Answer key

  1. 123
  2. 64
  3. 88
  4. 5
  5. 625
  6. 210
  7. 17
  8. 19
  9. 48
  10. 80
  11. 3520
  12. 480
  13. 72
  14. 95
  15. 10
  16. 56
  17. 2880
  18. 600
  19. 1750
  20. 2000
  21. 1960
  22. 1700
  23. 2400
  24. 2040
  25. 980
  26. 1890
  27. 20
  28. 2600
  29. 700
  30. 81
  31. 121
  32. 100
  33. 64
  34. 4
  35. 1100
  36. 2250
  37. 12
  38. 720
  39. 44
  40. 10

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