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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 37 · 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 octagon is 7 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 44 cm. What is its area (in square cm)?
  3. 3.A wall is 8 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A wall is 3 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A square has a perimeter of 80 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.From a rectangle 11 cm long and 15 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.From a rectangle 8 cm long and 5 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.From a rectangle 6 cm long and 12 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.Each side of a square is 25 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 78 cm and its length is 22 cm. What is its width (in cm)?
  12. 12.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)?
  13. 13.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a square is 8 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a rectangle is 98 cm and its length is 29 cm. What is its width (in cm)?
  16. 16.From a rectangle 13 cm long and 9 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.From a rectangle 18 cm long and 9 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A wall is 5 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.From a rectangle 8 cm long and 13 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)?
  20. 20.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 44 cm and its length is 16 cm. What is its width (in cm)?
  22. 22.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A square has a perimeter of 8 cm. What is its area (in square cm)?
  25. 25.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A square has a perimeter of 72 cm. What is its area (in square cm)?
  29. 29.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.The perimeter of a rectangle is 98 cm and its length is 25 cm. What is its width (in cm)?
  31. 31.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 ₹)?
  32. 32.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  34. 34.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.Each side of a square is 11 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 24 cm. What is its area (in square cm)?
  39. 39.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.From a rectangle 13 cm long and 7 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 56
  2. 121
  3. 960
  4. 360
  5. 400
  6. 600
  7. 120
  8. 34
  9. 64
  10. 100
  11. 17
  12. 37
  13. 1680
  14. 32
  15. 20
  16. 101
  17. 148
  18. 225
  19. 72
  20. 8
  21. 6
  22. 36
  23. 3770
  24. 4
  25. 60
  26. 2880
  27. 80
  28. 324
  29. 2850
  30. 24
  31. 700
  32. 3400
  33. 128
  34. 1620
  35. 90
  36. 5400
  37. 44
  38. 36
  39. 1200
  40. 83

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