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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 367 · 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 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  7. 7.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 32 cm. What is its area (in square cm)?
  9. 9.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
  11. 11.A rectangular field is 100 m long and 85 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A square has a perimeter of 24 cm. What is its area (in square cm)?
  13. 13.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
  14. 14.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.The perimeter of a rectangle is 48 cm and its length is 15 cm. What is its width (in cm)?
  17. 17.Each side of a square is 18 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a square is 17 cm. What is its perimeter (in cm)?
  20. 20.A square has a perimeter of 56 cm. What is its area (in square cm)?
  21. 21.Each side of a regular octagon is 10 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.The perimeter of a rectangle is 112 cm and its length is 30 cm. What is its width (in cm)?
  24. 24.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 20 cm long and 9 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A wall is 10 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.From a rectangle 10 cm long and 11 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A square has a perimeter of 76 cm. What is its area (in square cm)?
  29. 29.A wall is 3 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  31. 31.A square has a perimeter of 40 cm. What is its area (in square cm)?
  32. 32.The perimeter of a rectangle is 70 cm and its length is 25 cm. What is its width (in cm)?
  33. 33.From a rectangle 13 cm long and 5 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A wall is 3 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  38. 38.The perimeter of a rectangle is 90 cm and its length is 25 cm. What is its width (in cm)?
  39. 39.A wall is 10 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?

Answer key

  1. 3360
  2. 1560
  3. 1700
  4. 39
  5. 1980
  6. 3
  7. 1690
  8. 64
  9. 104
  10. 3
  11. 8510
  12. 36
  13. 9
  14. 4200
  15. 1500
  16. 9
  17. 72
  18. 3230
  19. 68
  20. 196
  21. 80
  22. 17
  23. 26
  24. 9
  25. 167
  26. 1500
  27. 61
  28. 361
  29. 120
  30. 126
  31. 100
  32. 10
  33. 55
  34. 3400
  35. 5500
  36. 60
  37. 4
  38. 20
  39. 2500
  40. 176

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