← 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 363 · 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 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A square has a perimeter of 16 cm. What is its area (in square cm)?
  3. 3.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A square has a perimeter of 64 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 42 cm and its length is 14 cm. What is its width (in cm)?
  7. 7.From a rectangle 14 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)?
  8. 8.A wall is 7 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 7 cm long and 15 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)?
  11. 11.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of a square is 12 cm. What is its perimeter (in cm)?
  13. 13.Each side of a square is 8 cm. What is its perimeter (in cm)?
  14. 14.A wall is 3 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  16. 16.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 68 cm and its length is 23 cm. What is its width (in cm)?
  18. 18.Each side of a square is 3 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 16 cm long and 8 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 48 cm and its length is 22 cm. What is its width (in cm)?
  22. 22.From a rectangle 6 cm long and 10 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)?
  23. 23.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  24. 24.The perimeter of a rectangle is 54 cm and its length is 25 cm. What is its width (in cm)?
  25. 25.A wall is 8 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  27. 27.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.From a rectangle 8 cm long and 8 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.The perimeter of a rectangle is 70 cm and its length is 22 cm. What is its width (in cm)?
  31. 31.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  32. 32.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  33. 33.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  34. 34.From a rectangle 16 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)?
  35. 35.A square has a perimeter of 28 cm. What is its area (in square cm)?
  36. 36.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  37. 37.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 ₹)?
  38. 38.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.The perimeter of a rectangle is 100 cm and its length is 26 cm. What is its width (in cm)?
  40. 40.From a rectangle 18 cm long and 6 cm wide, a rectangle 13 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 270
  2. 16
  3. 3960
  4. 1920
  5. 256
  6. 7
  7. 95
  8. 1750
  9. 56
  10. 93
  11. 2250
  12. 48
  13. 32
  14. 540
  15. 100
  16. 105
  17. 11
  18. 12
  19. 100
  20. 4
  21. 2
  22. 48
  23. 2
  24. 2
  25. 1600
  26. 21
  27. 18
  28. 1680
  29. 40
  30. 13
  31. 102
  32. 144
  33. 6
  34. 120
  35. 49
  36. 24
  37. 780
  38. 3800
  39. 24
  40. 56

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