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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 27 · 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.The perimeter of a rectangle is 60 cm and its length is 21 cm. What is its width (in cm)?
  2. 2.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 8 cm long and 15 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 12 cm long and 11 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  8. 8.From a rectangle 9 cm long and 6 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  10. 10.A wall is 6 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 80 cm. What is its area (in square cm)?
  16. 16.From a rectangle 8 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)?
  17. 17.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  18. 18.A wall is 11 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.From a rectangle 10 cm long and 6 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)?
  23. 23.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A square has a perimeter of 24 cm. What is its area (in square cm)?
  25. 25.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  26. 26.Each side of a square is 19 cm. What is its perimeter (in cm)?
  27. 27.Each side of a square is 10 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 64 cm. What is its area (in square cm)?
  29. 29.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  32. 32.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A wall is 9 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A wall is 5 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  38. 38.A wall is 8 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of a square is 24 cm. What is its perimeter (in cm)?
  40. 40.A wall is 4 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 9
  2. 1740
  3. 111
  4. 1190
  5. 50
  6. 120
  7. 126
  8. 49
  9. 4
  10. 540
  11. 600
  12. 25
  13. 1400
  14. 55
  15. 400
  16. 28
  17. 96
  18. 1320
  19. 5750
  20. 1890
  21. 910
  22. 54
  23. 1900
  24. 36
  25. 192
  26. 76
  27. 40
  28. 256
  29. 5040
  30. 600
  31. 5
  32. 320
  33. 2700
  34. 100
  35. 2520
  36. 4590
  37. 78
  38. 720
  39. 96
  40. 360

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