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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 511 · 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 95 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  3. 3.From a rectangle 12 cm long and 6 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)?
  4. 4.A square has a perimeter of 44 cm. What is its area (in square cm)?
  5. 5.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 ₹)?
  6. 6.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A square has a perimeter of 32 cm. What is its area (in square cm)?
  8. 8.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 24 cm. What is its area (in square cm)?
  10. 10.A wall is 12 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A wall is 3 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A wall is 11 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  14. 14.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A square has a perimeter of 12 cm. What is its area (in square cm)?
  16. 16.The perimeter of a rectangle is 54 cm and its length is 17 cm. What is its width (in cm)?
  17. 17.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.From a rectangle 6 cm long and 7 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A square has a perimeter of 48 cm. What is its area (in square cm)?
  20. 20.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  22. 22.The perimeter of a rectangle is 72 cm and its length is 19 cm. What is its width (in cm)?
  23. 23.A square has a perimeter of 72 cm. What is its area (in square cm)?
  24. 24.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A wall is 9 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A square has a perimeter of 60 cm. What is its area (in square cm)?
  28. 28.Each side of a square is 3 cm. What is its perimeter (in cm)?
  29. 29.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  30. 30.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of a square is 11 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 76 cm and its length is 27 cm. What is its width (in cm)?
  36. 36.The perimeter of a rectangle is 86 cm and its length is 23 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  38. 38.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.From a rectangle 7 cm long and 6 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 5760
  2. 12
  3. 68
  4. 121
  5. 1100
  6. 3520
  7. 64
  8. 144
  9. 36
  10. 1440
  11. 375
  12. 1925
  13. 3
  14. 720
  15. 9
  16. 10
  17. 3640
  18. 27
  19. 144
  20. 5500
  21. 24
  22. 17
  23. 324
  24. 85
  25. 1120
  26. 1350
  27. 225
  28. 12
  29. 16
  30. 330
  31. 44
  32. 4620
  33. 240
  34. 78
  35. 11
  36. 20
  37. 3
  38. 1200
  39. 38
  40. 1120

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