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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 257 · 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.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  2. 2.Each side of a square is 13 cm. What is its perimeter (in cm)?
  3. 3.A wall is 9 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  5. 5.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  6. 6.A wall is 9 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  8. 8.The perimeter of a rectangle is 46 cm and its length is 19 cm. What is its width (in cm)?
  9. 9.A square has a perimeter of 24 cm. What is its area (in square cm)?
  10. 10.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A wall is 9 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.From a rectangle 8 cm long and 10 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.From a rectangle 7 cm long and 13 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  16. 16.Each side of a square is 10 cm. What is its perimeter (in cm)?
  17. 17.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A wall is 3 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
  20. 20.From a rectangle 9 cm long and 6 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)?
  21. 21.From a rectangle 14 cm long and 8 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)?
  22. 22.From a rectangle 14 cm long and 9 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 9 cm long and 14 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)?
  25. 25.A wall is 11 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  27. 27.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 ₹)?
  28. 28.A square has a perimeter of 36 cm. What is its area (in square cm)?
  29. 29.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 11 cm long and 11 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)?
  31. 31.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  32. 32.From a rectangle 14 cm long and 5 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.From a rectangle 14 cm long and 15 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  35. 35.A square has a perimeter of 60 cm. What is its area (in square cm)?
  36. 36.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.The perimeter of a rectangle is 54 cm and its length is 20 cm. What is its width (in cm)?
  38. 38.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  40. 40.A wall is 4 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 6
  2. 52
  3. 540
  4. 184
  5. 48
  6. 810
  7. 8
  8. 4
  9. 36
  10. 1200
  11. 2430
  12. 32
  13. 83
  14. 1360
  15. 4
  16. 40
  17. 1680
  18. 675
  19. 6
  20. 53
  21. 108
  22. 108
  23. 3000
  24. 125
  25. 1100
  26. 36
  27. 7700
  28. 81
  29. 3600
  30. 118
  31. 4
  32. 58
  33. 165
  34. 13
  35. 225
  36. 1900
  37. 7
  38. 20
  39. 50
  40. 700

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