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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 417 · 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 11 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.From a rectangle 10 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)?
  3. 3.A wall is 7 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A wall is 6 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 7 cm long and 8 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)?
  7. 7.From a rectangle 15 cm long and 5 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A square has a perimeter of 68 cm. What is its area (in square cm)?
  10. 10.From a rectangle 13 cm long and 12 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.From a rectangle 6 cm long and 7 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)?
  13. 13.A wall is 7 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 15 cm long and 13 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A wall is 7 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  19. 19.A wall is 11 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.The perimeter of a rectangle is 38 cm and its length is 13 cm. What is its width (in cm)?
  21. 21.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  22. 22.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  23. 23.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 19 cm long and 7 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)?
  25. 25.From a rectangle 9 cm long and 13 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)?
  26. 26.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 60 cm and its length is 27 cm. What is its width (in cm)?
  30. 30.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  31. 31.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  32. 32.From a rectangle 15 cm long and 11 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A wall is 10 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.The perimeter of a rectangle is 46 cm and its length is 15 cm. What is its width (in cm)?
  35. 35.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 13 cm long and 10 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.Each side of a square is 2 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹22 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.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)?

Answer key

  1. 1100
  2. 55
  3. 1120
  4. 630
  5. 126
  6. 32
  7. 69
  8. 90
  9. 289
  10. 142
  11. 4560
  12. 39
  13. 525
  14. 990
  15. 60
  16. 191
  17. 1050
  18. 21
  19. 2640
  20. 6
  21. 35
  22. 3
  23. 1200
  24. 130
  25. 111
  26. 5000
  27. 720
  28. 8160
  29. 3
  30. 66
  31. 40
  32. 150
  33. 2100
  34. 8
  35. 24
  36. 110
  37. 8
  38. 7700
  39. 3
  40. 93

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