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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 25 · 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 square has a perimeter of 64 cm. What is its area (in square cm)?
  2. 2.From a rectangle 8 cm long and 6 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A square has a perimeter of 72 cm. What is its area (in square cm)?
  5. 5.From a rectangle 10 cm long and 6 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A square has a perimeter of 52 cm. What is its area (in square cm)?
  7. 7.From a rectangle 11 cm long and 15 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
  10. 10.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  11. 11.From a rectangle 19 cm long and 10 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.From a rectangle 10 cm long and 8 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)?
  13. 13.The perimeter of a rectangle is 60 cm and its length is 22 cm. What is its width (in cm)?
  14. 14.A wall is 9 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A wall is 11 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 16 cm long and 5 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)?
  18. 18.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  20. 20.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  21. 21.A wall is 10 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 17 cm long and 9 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 5 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A wall is 3 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 20 cm long and 10 cm wide, a rectangle 16 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.The perimeter of a rectangle is 78 cm and its length is 27 cm. What is its width (in cm)?
  34. 34.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  35. 35.From a rectangle 6 cm long and 9 cm wide, a rectangle 4 cm by 6 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 68 cm and its length is 24 cm. What is its width (in cm)?
  37. 37.A square has a perimeter of 48 cm. What is its area (in square cm)?
  38. 38.A wall is 11 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  40. 40.From a rectangle 9 cm long and 13 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 256
  2. 44
  3. 480
  4. 324
  5. 57
  6. 169
  7. 129
  8. 1440
  9. 3
  10. 56
  11. 181
  12. 79
  13. 8
  14. 630
  15. 1375
  16. 105
  17. 50
  18. 3060
  19. 42
  20. 40
  21. 900
  22. 135
  23. 980
  24. 900
  25. 2520
  26. 400
  27. 4080
  28. 405
  29. 2470
  30. 104
  31. 176
  32. 2420
  33. 12
  34. 20
  35. 30
  36. 10
  37. 144
  38. 1980
  39. 6
  40. 114

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