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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 33 · 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.From a rectangle 6 cm long and 5 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.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 ₹)?
  3. 3.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A square has a perimeter of 16 cm. What is its area (in square cm)?
  5. 5.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 14 cm long and 15 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  10. 10.Each side of a square is 2 cm. What is its perimeter (in cm)?
  11. 11.Each side of a square is 13 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 82 cm and its length is 23 cm. What is its width (in cm)?
  14. 14.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  16. 16.A wall is 7 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  19. 19.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 60 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.From a rectangle 14 cm long and 12 cm wide, a rectangle 11 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  25. 25.A wall is 9 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.From a rectangle 6 cm long and 6 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.From a rectangle 9 cm long and 9 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  29. 29.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 13 cm long and 11 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)?
  31. 31.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 15 cm long and 7 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  35. 35.A square has a perimeter of 64 cm. What is its area (in square cm)?
  36. 36.A wall is 12 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  38. 38.A wall is 9 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.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 ₹)?

Answer key

  1. 28
  2. 600
  3. 5580
  4. 16
  5. 1200
  6. 204
  7. 2310
  8. 5060
  9. 3
  10. 8
  11. 52
  12. 840
  13. 18
  14. 800
  15. 96
  16. 700
  17. 5600
  18. 8
  19. 100
  20. 7
  21. 225
  22. 1890
  23. 135
  24. 15
  25. 540
  26. 34
  27. 56
  28. 24
  29. 84
  30. 119
  31. 660
  32. 64
  33. 98
  34. 152
  35. 256
  36. 1800
  37. 18
  38. 540
  39. 5700
  40. 1600

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