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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 675 · 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 30 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  3. 3.A rectangular field is 95 m long and 85 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A wall is 6 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A square has a perimeter of 16 cm. What is its area (in square cm)?
  6. 6.Each side of a square is 25 cm. What is its perimeter (in cm)?
  7. 7.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  8. 8.A wall is 7 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.From a rectangle 9 cm long and 11 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A wall is 5 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 17 cm long and 6 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A wall is 9 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A square has a perimeter of 20 cm. What is its area (in square cm)?
  19. 19.The perimeter of a rectangle is 80 cm and its length is 21 cm. What is its width (in cm)?
  20. 20.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
  22. 22.From a rectangle 9 cm long and 8 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.From a rectangle 15 cm long and 8 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A square has a perimeter of 64 cm. What is its area (in square cm)?
  26. 26.A square has a perimeter of 28 cm. What is its area (in square cm)?
  27. 27.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
  28. 28.From a rectangle 11 cm long and 12 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.Each side of a square is 12 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 48 cm. What is its area (in square cm)?
  31. 31.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  32. 32.The perimeter of a rectangle is 54 cm and its length is 15 cm. What is its width (in cm)?
  33. 33.From a rectangle 7 cm long and 7 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A wall is 4 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
  36. 36.The perimeter of a rectangle is 74 cm and its length is 24 cm. What is its width (in cm)?
  37. 37.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 10 cm long and 9 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.From a rectangle 8 cm long and 5 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.From a rectangle 9 cm long and 12 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 630
  2. 12
  3. 6480
  4. 180
  5. 16
  6. 100
  7. 2
  8. 700
  9. 96
  10. 1690
  11. 94
  12. 625
  13. 1750
  14. 770
  15. 12
  16. 99
  17. 1620
  18. 25
  19. 19
  20. 42
  21. 12
  22. 70
  23. 110
  24. 1520
  25. 256
  26. 49
  27. 4
  28. 78
  29. 48
  30. 144
  31. 36
  32. 12
  33. 45
  34. 600
  35. 2
  36. 13
  37. 110
  38. 60
  39. 37
  40. 94

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