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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 349 · 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 10 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 10 cm long and 9 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.From a rectangle 18 cm long and 14 cm wide, a rectangle 16 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A wall is 9 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A wall is 9 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A square has a perimeter of 28 cm. What is its area (in square cm)?
  9. 9.A wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.The perimeter of a rectangle is 92 cm and its length is 24 cm. What is its width (in cm)?
  11. 11.From a rectangle 9 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)?
  12. 12.A wall is 9 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A square has a perimeter of 60 cm. What is its area (in square cm)?
  14. 14.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 32 cm. What is its area (in square cm)?
  16. 16.From a rectangle 6 cm long and 12 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  18. 18.A square has a perimeter of 56 cm. What is its area (in square cm)?
  19. 19.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 64 cm and its length is 18 cm. What is its width (in cm)?
  21. 21.From a rectangle 18 cm long and 14 cm wide, a rectangle 8 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 86 cm and its length is 22 cm. What is its width (in cm)?
  24. 24.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A wall is 10 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  28. 28.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  29. 29.From a rectangle 17 cm long and 5 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)?
  30. 30.A rectangular field is 95 m long and 85 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a square is 22 cm. What is its perimeter (in cm)?
  32. 32.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  33. 33.A wall is 9 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.The perimeter of a rectangle is 78 cm and its length is 23 cm. What is its width (in cm)?
  36. 36.Each side of a square is 15 cm. What is its perimeter (in cm)?
  37. 37.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 16 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)?
  39. 39.From a rectangle 15 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)?
  40. 40.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?

Answer key

  1. 500
  2. 950
  3. 86
  4. 236
  5. 180
  6. 1980
  7. 675
  8. 49
  9. 240
  10. 22
  11. 93
  12. 360
  13. 225
  14. 30
  15. 64
  16. 67
  17. 3
  18. 196
  19. 2
  20. 14
  21. 188
  22. 3080
  23. 21
  24. 1000
  25. 350
  26. 300
  27. 42
  28. 120
  29. 77
  30. 5400
  31. 88
  32. 104
  33. 1080
  34. 3990
  35. 16
  36. 60
  37. 72
  38. 72
  39. 123
  40. 32

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