← 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 658 · 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 rectangular field is 20 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 7 cm long and 8 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)?
  4. 4.A wall is 12 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.The perimeter of a rectangle is 40 cm and its length is 13 cm. What is its width (in cm)?
  6. 6.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 50 cm and its length is 18 cm. What is its width (in cm)?
  8. 8.A square has a perimeter of 56 cm. What is its area (in square cm)?
  9. 9.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A wall is 5 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 32 cm. What is its area (in square cm)?
  14. 14.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 40 cm. What is its area (in square cm)?
  16. 16.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  17. 17.A wall is 12 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 18 cm long and 13 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  20. 20.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 7 cm long and 15 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)?
  23. 23.From a rectangle 6 cm long and 7 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)?
  24. 24.The perimeter of a rectangle is 72 cm and its length is 28 cm. What is its width (in cm)?
  25. 25.A square has a perimeter of 52 cm. What is its area (in square cm)?
  26. 26.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A wall is 7 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A wall is 9 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.The perimeter of a rectangle is 98 cm and its length is 28 cm. What is its width (in cm)?
  34. 34.A square has a perimeter of 72 cm. What is its area (in square cm)?
  35. 35.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  37. 37.A wall is 7 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.From a rectangle 17 cm long and 7 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.From a rectangle 14 cm long and 14 cm wide, a rectangle 5 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 1400
  2. 780
  3. 51
  4. 480
  5. 7
  6. 10
  7. 7
  8. 196
  9. 650
  10. 100
  11. 1575
  12. 1840
  13. 64
  14. 30
  15. 100
  16. 60
  17. 600
  18. 192
  19. 3
  20. 2080
  21. 33
  22. 96
  23. 41
  24. 8
  25. 169
  26. 40
  27. 1100
  28. 630
  29. 1000
  30. 3740
  31. 540
  32. 1800
  33. 21
  34. 324
  35. 96
  36. 3
  37. 525
  38. 71
  39. 600
  40. 146

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