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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 392 · 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.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 8 cm long and 6 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A square has a perimeter of 48 cm. What is its area (in square cm)?
  6. 6.A wall is 12 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  8. 8.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 ₹)?
  9. 9.Each side of a square is 24 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 15 cm long and 12 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A square has a perimeter of 16 cm. What is its area (in square cm)?
  12. 12.A square has a perimeter of 64 cm. What is its area (in square cm)?
  13. 13.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  14. 14.From a rectangle 7 cm long and 11 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)?
  15. 15.The perimeter of a rectangle is 84 cm and its length is 22 cm. What is its width (in cm)?
  16. 16.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.Each side of a square is 20 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 13 cm long and 15 cm wide, a rectangle 10 cm by 5 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 46 cm and its length is 20 cm. What is its width (in cm)?
  20. 20.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A square has a perimeter of 44 cm. What is its area (in square cm)?
  22. 22.From a rectangle 13 cm long and 13 cm wide, a rectangle 3 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A square has a perimeter of 12 cm. What is its area (in square cm)?
  24. 24.A wall is 12 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.From a rectangle 11 cm long and 15 cm wide, a rectangle 8 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.From a rectangle 15 cm long and 5 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.From a rectangle 14 cm long and 6 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.From a rectangle 20 cm long and 6 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)?
  32. 32.A wall is 9 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 90 cm and its length is 26 cm. What is its width (in cm)?
  34. 34.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 ₹)?
  35. 35.A wall is 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  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.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 100 m long and 85 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.From a rectangle 9 cm long and 5 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 125
  2. 28
  3. 240
  4. 4320
  5. 144
  6. 3600
  7. 21
  8. 330
  9. 96
  10. 150
  11. 16
  12. 256
  13. 42
  14. 76
  15. 20
  16. 1050
  17. 80
  18. 145
  19. 3
  20. 720
  21. 121
  22. 139
  23. 9
  24. 2160
  25. 3800
  26. 77
  27. 90
  28. 5120
  29. 65
  30. 60
  31. 112
  32. 1890
  33. 19
  34. 630
  35. 600
  36. 3500
  37. 525
  38. 9250
  39. 8510
  40. 36

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