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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 241 · 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 rectangular field is 90 m long and 50 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a square is 17 cm. What is its perimeter (in cm)?
  3. 3.From a rectangle 10 cm long and 14 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.From a rectangle 7 cm long and 12 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)?
  5. 5.From a rectangle 15 cm long and 7 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  7. 7.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  8. 8.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  9. 9.A wall is 10 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A wall is 4 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.From a rectangle 15 cm long and 7 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 16 cm. What is its area (in square cm)?
  17. 17.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 ₹)?
  18. 18.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 54 cm and its length is 24 cm. What is its width (in cm)?
  21. 21.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  22. 22.A wall is 6 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 19 cm long and 6 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.From a rectangle 9 cm long and 7 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)?
  25. 25.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  26. 26.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  27. 27.Each side of a square is 18 cm. What is its perimeter (in cm)?
  28. 28.A wall is 3 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
  30. 30.A wall is 4 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A square has a perimeter of 20 cm. What is its area (in square cm)?
  32. 32.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A square has a perimeter of 24 cm. What is its area (in square cm)?
  34. 34.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 ₹)?
  35. 35.A wall is 5 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A wall is 12 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 64 cm and its length is 23 cm. What is its width (in cm)?

Answer key

  1. 6440
  2. 68
  3. 105
  4. 60
  5. 103
  6. 84
  7. 42
  8. 40
  9. 1800
  10. 115
  11. 2280
  12. 600
  13. 99
  14. 1280
  15. 1980
  16. 16
  17. 800
  18. 3750
  19. 3240
  20. 3
  21. 36
  22. 360
  23. 98
  24. 61
  25. 3
  26. 114
  27. 72
  28. 315
  29. 7
  30. 320
  31. 25
  32. 1260
  33. 36
  34. 405
  35. 500
  36. 350
  37. 1500
  38. 1710
  39. 60
  40. 9

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