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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 563 · 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 octagon is 23 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 66 cm and its length is 24 cm. What is its width (in cm)?
  4. 4.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of a square is 13 cm. What is its perimeter (in cm)?
  7. 7.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  9. 9.From a rectangle 13 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)?
  10. 10.A square has a perimeter of 60 cm. What is its area (in square cm)?
  11. 11.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 10 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.From a rectangle 12 cm long and 13 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.Each side of a square is 8 cm. What is its perimeter (in cm)?
  16. 16.A square has a perimeter of 12 cm. What is its area (in square cm)?
  17. 17.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  18. 18.A wall is 9 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A wall is 10 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.From a rectangle 7 cm long and 10 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)?
  21. 21.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 20 cm long and 14 cm wide, a rectangle 15 cm by 3 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 80 cm and its length is 24 cm. What is its width (in cm)?
  24. 24.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 6 cm long and 10 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.From a rectangle 11 cm long and 7 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)?
  28. 28.A wall is 11 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 40 cm. What is its area (in square cm)?
  31. 31.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  32. 32.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 18 cm long and 15 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)?
  34. 34.A square has a perimeter of 44 cm. What is its area (in square cm)?
  35. 35.From a rectangle 8 cm long and 10 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)?
  36. 36.The perimeter of a rectangle is 42 cm and its length is 17 cm. What is its width (in cm)?
  37. 37.From a rectangle 15 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)?
  38. 38.A square has a perimeter of 20 cm. What is its area (in square cm)?
  39. 39.A wall is 11 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 184
  2. 6210
  3. 9
  4. 750
  5. 1710
  6. 52
  7. 20
  8. 7
  9. 90
  10. 225
  11. 600
  12. 1980
  13. 1800
  14. 132
  15. 32
  16. 9
  17. 120
  18. 900
  19. 1050
  20. 61
  21. 1000
  22. 235
  23. 16
  24. 56
  25. 52
  26. 160
  27. 65
  28. 1320
  29. 24
  30. 100
  31. 75
  32. 63
  33. 260
  34. 121
  35. 72
  36. 4
  37. 70
  38. 25
  39. 825
  40. 3150

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