← 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 285 · 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 13 cm long and 6 cm wide, a rectangle 4 cm by 3 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 60 cm and its length is 27 cm. What is its width (in cm)?
  3. 3.A wall is 10 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.From a rectangle 11 cm long and 6 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)?
  5. 5.From a rectangle 19 cm long and 9 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A square has a perimeter of 64 cm. What is its area (in square cm)?
  7. 7.From a rectangle 11 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)?
  8. 8.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 48 cm. What is its area (in square cm)?
  10. 10.The perimeter of a rectangle is 80 cm and its length is 30 cm. What is its width (in cm)?
  11. 11.Each side of a square is 10 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.The perimeter of a rectangle is 82 cm and its length is 21 cm. What is its width (in cm)?
  15. 15.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
  18. 18.From a rectangle 14 cm long and 9 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.From a rectangle 6 cm long and 15 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A square has a perimeter of 36 cm. What is its area (in square cm)?
  22. 22.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 7 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 20 cm long and 6 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)?
  27. 27.From a rectangle 12 cm long and 9 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.From a rectangle 9 cm long and 6 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)?
  32. 32.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.From a rectangle 19 cm long and 6 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of a square is 16 cm. What is its perimeter (in cm)?
  36. 36.A square has a perimeter of 40 cm. What is its area (in square cm)?
  37. 37.From a rectangle 20 cm long and 5 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)?
  38. 38.From a rectangle 16 cm long and 8 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.From a rectangle 20 cm long and 13 cm wide, a rectangle 14 cm by 11 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 40 cm and its length is 13 cm. What is its width (in cm)?

Answer key

  1. 66
  2. 3
  3. 1400
  4. 42
  5. 147
  6. 256
  7. 116
  8. 12
  9. 144
  10. 10
  11. 40
  12. 3230
  13. 3240
  14. 20
  15. 4560
  16. 104
  17. 2
  18. 90
  19. 270
  20. 82
  21. 81
  22. 6
  23. 1600
  24. 1050
  25. 30
  26. 110
  27. 73
  28. 27
  29. 3040
  30. 350
  31. 48
  32. 2880
  33. 4830
  34. 105
  35. 64
  36. 100
  37. 88
  38. 116
  39. 106
  40. 7

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