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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 26 · 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 10 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A wall is 8 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A square has a perimeter of 8 cm. What is its area (in square cm)?
  6. 6.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  7. 7.A wall is 7 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A square has a perimeter of 40 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 60 cm. What is its area (in square cm)?
  10. 10.Each side of a square is 7 cm. What is its perimeter (in cm)?
  11. 11.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 18 cm long and 5 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.Each side of a square is 24 cm. What is its perimeter (in cm)?
  15. 15.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  16. 16.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  19. 19.A wall is 6 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.From a rectangle 7 cm long and 13 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A wall is 6 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 14 cm long and 13 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)?
  23. 23.Each side of a square is 17 cm. What is its perimeter (in cm)?
  24. 24.A square has a perimeter of 12 cm. What is its area (in square cm)?
  25. 25.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.From a rectangle 6 cm long and 14 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.Each side of a square is 22 cm. What is its perimeter (in cm)?
  29. 29.Each side of a square is 6 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 7 cm long and 5 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)?
  31. 31.From a rectangle 18 cm long and 6 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)?
  32. 32.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a square is 15 cm. What is its perimeter (in cm)?
  35. 35.A wall is 8 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.From a rectangle 8 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)?
  37. 37.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  39. 39.A square has a perimeter of 32 cm. What is its area (in square cm)?
  40. 40.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 400
  2. 160
  3. 115
  4. 3900
  5. 4
  6. 108
  7. 1890
  8. 100
  9. 225
  10. 28
  11. 25
  12. 2380
  13. 48
  14. 96
  15. 12
  16. 700
  17. 2200
  18. 104
  19. 1260
  20. 81
  21. 1050
  22. 152
  23. 68
  24. 9
  25. 5400
  26. 64
  27. 1260
  28. 88
  29. 24
  30. 31
  31. 72
  32. 540
  33. 2550
  34. 60
  35. 960
  36. 63
  37. 1800
  38. 21
  39. 64
  40. 1100

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