← 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 51 · 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.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  2. 2.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  3. 3.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A rectangular field is 90 m long and 65 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  8. 8.A wall is 10 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  10. 10.A wall is 7 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 78 cm and its length is 29 cm. What is its width (in cm)?
  13. 13.A square has a perimeter of 60 cm. What is its area (in square cm)?
  14. 14.From a rectangle 19 cm long and 9 cm wide, a rectangle 16 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  16. 16.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 7 cm long and 15 cm wide, a rectangle 5 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.From a rectangle 8 cm long and 5 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 54 cm and its length is 24 cm. What is its width (in cm)?
  22. 22.From a rectangle 9 cm long and 12 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)?
  23. 23.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  24. 24.A wall is 5 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.From a rectangle 11 cm long and 7 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)?
  28. 28.The perimeter of a rectangle is 60 cm and its length is 17 cm. What is its width (in cm)?
  29. 29.From a rectangle 17 cm long and 13 cm wide, a rectangle 10 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.From a rectangle 13 cm long and 5 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)?
  31. 31.Each side of a square is 8 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A square has a perimeter of 20 cm. What is its area (in square cm)?
  34. 34.A square has a perimeter of 12 cm. What is its area (in square cm)?
  35. 35.From a rectangle 15 cm long and 8 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A wall is 3 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 12 cm long and 11 cm wide, a rectangle 5 cm by 6 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 octagon is 25 cm. What is its perimeter (in cm)?

Answer key

  1. 27
  2. 4
  3. 138
  4. 1280
  5. 7750
  6. 200
  7. 3
  8. 1200
  9. 4
  10. 140
  11. 72
  12. 10
  13. 225
  14. 91
  15. 2
  16. 750
  17. 40
  18. 39
  19. 54
  20. 13
  21. 3
  22. 96
  23. 9
  24. 525
  25. 48
  26. 2300
  27. 74
  28. 13
  29. 131
  30. 62
  31. 32
  32. 1260
  33. 25
  34. 9
  35. 108
  36. 240
  37. 360
  38. 45
  39. 102
  40. 200

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