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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 598 · 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 6 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a square is 17 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  4. 4.A square has a perimeter of 52 cm. What is its area (in square cm)?
  5. 5.A square has a perimeter of 48 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  8. 8.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 102 cm and its length is 27 cm. What is its width (in cm)?
  10. 10.The perimeter of a rectangle is 52 cm and its length is 15 cm. What is its width (in cm)?
  11. 11.The perimeter of a rectangle is 52 cm and its length is 24 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 16 cm. What is its area (in square cm)?
  13. 13.A wall is 8 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.The perimeter of a rectangle is 52 cm and its length is 17 cm. What is its width (in cm)?
  15. 15.The perimeter of a rectangle is 110 cm and its length is 29 cm. What is its width (in cm)?
  16. 16.A wall is 4 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  18. 18.A square has a perimeter of 60 cm. What is its area (in square cm)?
  19. 19.The perimeter of a rectangle is 52 cm and its length is 21 cm. What is its width (in cm)?
  20. 20.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.From a rectangle 18 cm long and 6 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)?
  23. 23.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.The perimeter of a rectangle is 60 cm and its length is 17 cm. What is its width (in cm)?
  26. 26.A wall is 6 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹6 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.The perimeter of a rectangle is 112 cm and its length is 29 cm. What is its width (in cm)?
  30. 30.A square has a perimeter of 76 cm. What is its area (in square cm)?
  31. 31.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  33. 33.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a square is 2 cm. What is its perimeter (in cm)?
  35. 35.A wall is 7 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A wall is 7 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 18 cm long and 15 cm wide, a rectangle 9 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  40. 40.A wall is 4 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 420
  2. 68
  3. 5
  4. 169
  5. 144
  6. 5500
  7. 3
  8. 1050
  9. 24
  10. 11
  11. 2
  12. 16
  13. 480
  14. 9
  15. 26
  16. 640
  17. 65
  18. 225
  19. 5
  20. 8640
  21. 2070
  22. 104
  23. 3910
  24. 640
  25. 13
  26. 360
  27. 1260
  28. 81
  29. 27
  30. 361
  31. 720
  32. 35
  33. 3240
  34. 8
  35. 140
  36. 420
  37. 45
  38. 180
  39. 56
  40. 840

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