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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 323 · 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 16 cm long and 10 cm wide, a rectangle 10 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.The perimeter of a rectangle is 80 cm and its length is 24 cm. What is its width (in cm)?
  3. 3.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.The perimeter of a rectangle is 88 cm and its length is 26 cm. What is its width (in cm)?
  5. 5.From a rectangle 20 cm long and 9 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A wall is 8 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.From a rectangle 6 cm long and 7 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  9. 9.From a rectangle 6 cm long and 8 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A wall is 5 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A square has a perimeter of 64 cm. What is its area (in square cm)?
  12. 12.A square has a perimeter of 56 cm. What is its area (in square cm)?
  13. 13.Each side of a square is 11 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 20 cm long and 9 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 32 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
  19. 19.From a rectangle 8 cm long and 14 cm wide, a rectangle 6 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.Each side of a square is 19 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 62 cm and its length is 21 cm. What is its width (in cm)?
  24. 24.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 10 cm long and 13 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.The perimeter of a rectangle is 80 cm and its length is 30 cm. What is its width (in cm)?
  27. 27.A square has a perimeter of 44 cm. What is its area (in square cm)?
  28. 28.From a rectangle 16 cm long and 5 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)?
  29. 29.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a square is 10 cm. What is its perimeter (in cm)?
  31. 31.From a rectangle 20 cm long and 14 cm wide, a rectangle 13 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A square has a perimeter of 12 cm. What is its area (in square cm)?
  33. 33.From a rectangle 17 cm long and 6 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.From a rectangle 12 cm long and 15 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)?
  35. 35.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.Each side of a square is 16 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 11 cm long and 5 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A rectangular field is 85 m long and 65 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  40. 40.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 100
  2. 16
  3. 3060
  4. 18
  5. 132
  6. 480
  7. 22
  8. 3
  9. 32
  10. 1000
  11. 256
  12. 196
  13. 44
  14. 1680
  15. 156
  16. 24
  17. 64
  18. 5
  19. 40
  20. 1620
  21. 76
  22. 2850
  23. 10
  24. 800
  25. 90
  26. 10
  27. 121
  28. 79
  29. 4800
  30. 40
  31. 189
  32. 9
  33. 90
  34. 159
  35. 6510
  36. 64
  37. 31
  38. 4800
  39. 3
  40. 3510

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