← 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 48 · 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 9 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)?
  2. 2.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.The perimeter of a rectangle is 92 cm and its length is 26 cm. What is its width (in cm)?
  4. 4.The perimeter of a rectangle is 60 cm and its length is 23 cm. What is its width (in cm)?
  5. 5.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 84 cm and its length is 24 cm. What is its width (in cm)?
  7. 7.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  9. 9.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 24 cm. What is its area (in square cm)?
  12. 12.From a rectangle 12 cm long and 7 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A rectangular field is 90 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 11 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A wall is 11 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.The perimeter of a rectangle is 50 cm and its length is 15 cm. What is its width (in cm)?
  17. 17.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 16 cm long and 6 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A square has a perimeter of 20 cm. What is its area (in square cm)?
  20. 20.From a rectangle 9 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.The perimeter of a rectangle is 70 cm and its length is 20 cm. What is its width (in cm)?
  22. 22.Each side of a square is 13 cm. What is its perimeter (in cm)?
  23. 23.The perimeter of a rectangle is 86 cm and its length is 28 cm. What is its width (in cm)?
  24. 24.A wall is 4 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  27. 27.Each side of a square is 21 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 20 cm long and 5 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A square has a perimeter of 68 cm. What is its area (in square cm)?
  31. 31.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
  32. 32.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.The perimeter of a rectangle is 90 cm and its length is 24 cm. What is its width (in cm)?
  36. 36.The perimeter of a rectangle is 106 cm and its length is 29 cm. What is its width (in cm)?
  37. 37.From a rectangle 11 cm long and 6 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 13 cm long and 7 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 33
  2. 3000
  3. 20
  4. 7
  5. 3570
  6. 18
  7. 1040
  8. 30
  9. 85
  10. 3040
  11. 36
  12. 79
  13. 2340
  14. 880
  15. 1650
  16. 10
  17. 66
  18. 68
  19. 25
  20. 40
  21. 15
  22. 52
  23. 15
  24. 480
  25. 2210
  26. 144
  27. 84
  28. 93
  29. 1260
  30. 289
  31. 5
  32. 3400
  33. 90
  34. 1120
  35. 21
  36. 24
  37. 60
  38. 12
  39. 36
  40. 2430

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