← 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 661 · 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.A wall is 6 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a regular pentagon is 2 cm. What is its perimeter (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.The perimeter of a rectangle is 46 cm and its length is 14 cm. What is its width (in cm)?
  5. 5.From a rectangle 19 cm long and 9 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A wall is 7 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.From a rectangle 11 cm long and 13 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.From a rectangle 10 cm long and 15 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.Each side of a square is 5 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A wall is 5 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.From a rectangle 7 cm long and 7 cm wide, a rectangle 4 cm by 1 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 22 cm and its length is 9 cm. What is its width (in cm)?
  16. 16.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.The perimeter of a rectangle is 84 cm and its length is 25 cm. What is its width (in cm)?
  18. 18.A wall is 3 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.Each side of a square is 3 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 10 cm long and 15 cm wide, a rectangle 3 cm by 9 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 82 cm and its length is 25 cm. What is its width (in cm)?
  22. 22.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A square has a perimeter of 12 cm. What is its area (in square cm)?
  25. 25.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 ₹)?
  26. 26.A wall is 6 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A square has a perimeter of 60 cm. What is its area (in square cm)?
  29. 29.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 7 cm long and 13 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.The perimeter of a rectangle is 56 cm and its length is 17 cm. What is its width (in cm)?
  32. 32.The perimeter of a rectangle is 104 cm and its length is 27 cm. What is its width (in cm)?
  33. 33.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A square has a perimeter of 16 cm. What is its area (in square cm)?
  35. 35.From a rectangle 7 cm long and 10 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 64 cm and its length is 24 cm. What is its width (in cm)?
  38. 38.A square has a perimeter of 44 cm. What is its area (in square cm)?
  39. 39.From a rectangle 6 cm long and 10 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)?
  40. 40.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?

Answer key

  1. 720
  2. 10
  3. 4
  4. 9
  5. 131
  6. 3150
  7. 420
  8. 134
  9. 129
  10. 20
  11. 4480
  12. 1500
  13. 1800
  14. 45
  15. 2
  16. 4760
  17. 17
  18. 720
  19. 12
  20. 123
  21. 16
  22. 650
  23. 420
  24. 9
  25. 480
  26. 900
  27. 5400
  28. 225
  29. 65
  30. 85
  31. 11
  32. 25
  33. 1050
  34. 16
  35. 67
  36. 35
  37. 8
  38. 121
  39. 59
  40. 42

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