← Perimeter and area: fencing, painting and cut-outs lesson New set →

Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 476 · 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 8 cm long and 5 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.The perimeter of a rectangle is 52 cm and its length is 18 cm. What is its width (in cm)?
  3. 3.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  4. 4.A wall is 12 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 6 cm long and 7 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.From a rectangle 13 cm long and 13 cm wide, a rectangle 9 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.From a rectangle 16 cm long and 5 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 8 cm long and 10 cm wide, a rectangle 6 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 a regular pentagon is 4 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  15. 15.From a rectangle 20 cm long and 5 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
  18. 18.A wall is 7 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A wall is 9 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  22. 22.The perimeter of a rectangle is 62 cm and its length is 26 cm. What is its width (in cm)?
  23. 23.Each side of a square is 6 cm. What is its perimeter (in cm)?
  24. 24.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
  25. 25.A wall is 8 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A rectangular field is 100 m long and 55 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.From a rectangle 16 cm long and 11 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  32. 32.From a rectangle 9 cm long and 9 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)?
  33. 33.Each side of a square is 22 cm. What is its perimeter (in cm)?
  34. 34.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 ₹)?
  35. 35.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 84 cm and its length is 22 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 74 cm and its length is 24 cm. What is its width (in cm)?
  38. 38.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
  39. 39.The perimeter of a rectangle is 86 cm and its length is 23 cm. What is its width (in cm)?
  40. 40.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 34
  2. 8
  3. 4
  4. 3240
  5. 15
  6. 40
  7. 88
  8. 78
  9. 18
  10. 62
  11. 20
  12. 3750
  13. 4600
  14. 144
  15. 90
  16. 108
  17. 6
  18. 2100
  19. 1260
  20. 1890
  21. 25
  22. 5
  23. 24
  24. 120
  25. 640
  26. 1550
  27. 128
  28. 16
  29. 2560
  30. 2100
  31. 24
  32. 78
  33. 88
  34. 1050
  35. 2380
  36. 20
  37. 13
  38. 11
  39. 20
  40. 1800

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets