← 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 413 · 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 square has a perimeter of 52 cm. What is its area (in square cm)?
  2. 2.A wall is 9 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A square has a perimeter of 76 cm. What is its area (in square cm)?
  4. 4.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  6. 6.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  7. 7.A wall is 5 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.Each side of a square is 13 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  11. 11.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  12. 12.A square has a perimeter of 40 cm. What is its area (in square cm)?
  13. 13.A square has a perimeter of 80 cm. What is its area (in square cm)?
  14. 14.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  15. 15.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  16. 16.Each side of a square is 9 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 6 cm long and 9 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)?
  18. 18.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  19. 19.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  23. 23.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 ₹)?
  24. 24.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 17 cm long and 5 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.From a rectangle 18 cm long and 8 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)?
  27. 27.A square has a perimeter of 48 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 6 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 20 cm long and 15 cm wide, a rectangle 5 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.The perimeter of a rectangle is 54 cm and its length is 21 cm. What is its width (in cm)?
  34. 34.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  36. 36.A square has a perimeter of 68 cm. What is its area (in square cm)?
  37. 37.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 8 cm long and 13 cm wide, a rectangle 2 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 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 169
  2. 450
  3. 361
  4. 3120
  5. 136
  6. 120
  7. 900
  8. 52
  9. 1950
  10. 200
  11. 65
  12. 100
  13. 400
  14. 138
  15. 24
  16. 36
  17. 42
  18. 6
  19. 1800
  20. 1600
  21. 900
  22. 132
  23. 1620
  24. 5760
  25. 83
  26. 123
  27. 144
  28. 660
  29. 300
  30. 1400
  31. 1950
  32. 240
  33. 6
  34. 40
  35. 48
  36. 289
  37. 2160
  38. 96
  39. 1250
  40. 400

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