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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 81 · 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 a regular pentagon is 3 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A wall is 5 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.From a rectangle 9 cm long and 14 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.The perimeter of a rectangle is 52 cm and its length is 18 cm. What is its width (in cm)?
  9. 9.A square has a perimeter of 20 cm. What is its area (in square cm)?
  10. 10.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
  11. 11.A wall is 5 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 68 cm. What is its area (in square cm)?
  14. 14.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
  16. 16.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  17. 17.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A wall is 7 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.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 ₹)?
  20. 20.A wall is 9 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A wall is 10 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A square has a perimeter of 44 cm. What is its area (in square cm)?
  23. 23.A wall is 5 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A square has a perimeter of 24 cm. What is its area (in square cm)?
  25. 25.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 95 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  28. 28.A wall is 11 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A wall is 11 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.From a rectangle 11 cm long and 7 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  32. 32.The perimeter of a rectangle is 64 cm and its length is 19 cm. What is its width (in cm)?
  33. 33.A square has a perimeter of 64 cm. What is its area (in square cm)?
  34. 34.A wall is 7 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A square has a perimeter of 12 cm. What is its area (in square cm)?
  36. 36.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 ₹)?
  37. 37.A square has a perimeter of 72 cm. What is its area (in square cm)?
  38. 38.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  40. 40.A wall is 8 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 15
  2. 2100
  3. 2660
  4. 2210
  5. 1250
  6. 1800
  7. 118
  8. 8
  9. 25
  10. 4
  11. 900
  12. 500
  13. 289
  14. 4200
  15. 3
  16. 5
  17. 1200
  18. 840
  19. 1100
  20. 675
  21. 300
  22. 121
  23. 600
  24. 36
  25. 48
  26. 3000
  27. 132
  28. 660
  29. 1100
  30. 71
  31. 40
  32. 13
  33. 256
  34. 560
  35. 9
  36. 640
  37. 324
  38. 39
  39. 35
  40. 800

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