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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 698 · 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 80 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 95 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  4. 4.A wall is 8 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  6. 6.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  7. 7.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  8. 8.From a rectangle 18 cm long and 7 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)?
  9. 9.The perimeter of a rectangle is 58 cm and its length is 23 cm. What is its width (in cm)?
  10. 10.A rectangular field is 95 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A wall is 3 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 36 cm. What is its area (in square cm)?
  14. 14.A wall is 3 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.The perimeter of a rectangle is 108 cm and its length is 29 cm. What is its width (in cm)?
  16. 16.The perimeter of a rectangle is 62 cm and its length is 27 cm. What is its width (in cm)?
  17. 17.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  20. 20.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A square has a perimeter of 16 cm. What is its area (in square cm)?
  23. 23.A square has a perimeter of 20 cm. What is its area (in square cm)?
  24. 24.From a rectangle 6 cm long and 9 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)?
  25. 25.A wall is 4 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.From a rectangle 13 cm long and 11 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 8 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 7 cm long and 8 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  36. 36.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  37. 37.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  38. 38.A wall is 11 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?

Answer key

  1. 2880
  2. 3500
  3. 3
  4. 2160
  5. 42
  6. 60
  7. 21
  8. 120
  9. 6
  10. 2100
  11. 180
  12. 2940
  13. 81
  14. 135
  15. 25
  16. 4
  17. 18
  18. 2600
  19. 85
  20. 3520
  21. 3680
  22. 16
  23. 25
  24. 50
  25. 120
  26. 135
  27. 57
  28. 910
  29. 1200
  30. 1050
  31. 5250
  32. 27
  33. 32
  34. 2470
  35. 65
  36. 25
  37. 36
  38. 1650
  39. 6000
  40. 18

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