← 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 443 · 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 4 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  4. 4.From a rectangle 8 cm long and 12 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)?
  5. 5.Each side of a square is 9 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 7 cm long and 12 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.The perimeter of a rectangle is 104 cm and its length is 29 cm. What is its width (in cm)?
  9. 9.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A wall is 7 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A wall is 7 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.Each side of a square is 3 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 76 cm. What is its area (in square cm)?
  17. 17.Each side of a square is 13 cm. What is its perimeter (in cm)?
  18. 18.A wall is 11 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.From a rectangle 18 cm long and 14 cm wide, a rectangle 11 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A square has a perimeter of 16 cm. What is its area (in square cm)?
  23. 23.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  24. 24.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A wall is 9 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A wall is 8 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
  30. 30.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  31. 31.A square has a perimeter of 52 cm. What is its area (in square cm)?
  32. 32.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
  33. 33.The perimeter of a rectangle is 64 cm and its length is 23 cm. What is its width (in cm)?
  34. 34.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.From a rectangle 15 cm long and 10 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 72 cm. What is its area (in square cm)?
  38. 38.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 15 cm long and 15 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.From a rectangle 14 cm long and 9 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 240
  2. 2750
  3. 75
  4. 91
  5. 36
  6. 48
  7. 3400
  8. 23
  9. 440
  10. 1680
  11. 1050
  12. 12
  13. 2000
  14. 176
  15. 2860
  16. 361
  17. 52
  18. 2310
  19. 120
  20. 330
  21. 5000
  22. 16
  23. 33
  24. 75
  25. 1900
  26. 1620
  27. 2000
  28. 1540
  29. 5
  30. 6
  31. 169
  32. 7
  33. 9
  34. 2890
  35. 105
  36. 72
  37. 324
  38. 12
  39. 209
  40. 77

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