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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 512 · 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.From a rectangle 14 cm long and 12 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A wall is 6 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A rectangular field is 95 m long and 60 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  7. 7.From a rectangle 16 cm long and 7 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A square has a perimeter of 12 cm. What is its area (in square cm)?
  10. 10.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A wall is 6 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.The perimeter of a rectangle is 70 cm and its length is 19 cm. What is its width (in cm)?
  13. 13.Each side of a square is 20 cm. What is its perimeter (in cm)?
  14. 14.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  15. 15.From a rectangle 13 cm long and 10 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A wall is 12 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.The perimeter of a rectangle is 60 cm and its length is 21 cm. What is its width (in cm)?
  18. 18.From a rectangle 13 cm long and 6 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 8 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  23. 23.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
  24. 24.A square has a perimeter of 20 cm. What is its area (in square cm)?
  25. 25.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  26. 26.A wall is 6 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
  29. 29.A square has a perimeter of 40 cm. What is its area (in square cm)?
  30. 30.A wall is 6 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.The perimeter of a rectangle is 78 cm and its length is 30 cm. What is its width (in cm)?
  32. 32.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  33. 33.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 ₹)?
  34. 34.The perimeter of a rectangle is 78 cm and its length is 21 cm. What is its width (in cm)?
  35. 35.A wall is 5 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  37. 37.From a rectangle 10 cm long and 10 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 3 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 143
  2. 980
  3. 180
  4. 300
  5. 3410
  6. 120
  7. 94
  8. 780
  9. 9
  10. 2040
  11. 450
  12. 16
  13. 80
  14. 132
  15. 114
  16. 2700
  17. 9
  18. 46
  19. 3740
  20. 2850
  21. 1440
  22. 3
  23. 3
  24. 25
  25. 72
  26. 960
  27. 25
  28. 10
  29. 100
  30. 900
  31. 9
  32. 105
  33. 640
  34. 18
  35. 800
  36. 5
  37. 72
  38. 1610
  39. 4860
  40. 270

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