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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 624 · 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.The perimeter of a rectangle is 70 cm and its length is 18 cm. What is its width (in cm)?
  2. 2.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 10 cm long and 14 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A wall is 11 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  8. 8.From a rectangle 18 cm long and 15 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.From a rectangle 14 cm long and 12 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A square has a perimeter of 60 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 44 cm. What is its area (in square cm)?
  18. 18.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 46 cm and its length is 21 cm. What is its width (in cm)?
  20. 20.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  21. 21.A square has a perimeter of 64 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A square has a perimeter of 80 cm. What is its area (in square cm)?
  25. 25.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A square has a perimeter of 24 cm. What is its area (in square cm)?
  27. 27.From a rectangle 13 cm long and 5 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A wall is 7 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 14 cm long and 14 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  31. 31.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 6 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.From a rectangle 16 cm long and 8 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.From a rectangle 6 cm long and 11 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 15 cm long and 10 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 17
  2. 1120
  3. 105
  4. 400
  5. 1155
  6. 3
  7. 3
  8. 228
  9. 1950
  10. 162
  11. 3800
  12. 225
  13. 1200
  14. 64
  15. 1920
  16. 60
  17. 121
  18. 200
  19. 2
  20. 72
  21. 256
  22. 1050
  23. 150
  24. 400
  25. 3040
  26. 36
  27. 44
  28. 1050
  29. 164
  30. 10
  31. 1080
  32. 240
  33. 100
  34. 39
  35. 114
  36. 950
  37. 88
  38. 1260
  39. 1680
  40. 2240

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