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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 408 · 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 square has a perimeter of 60 cm. What is its area (in square cm)?
  2. 2.From a rectangle 12 cm long and 8 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A wall is 5 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.From a rectangle 7 cm long and 6 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.From a rectangle 11 cm long and 12 cm wide, a rectangle 7 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A wall is 11 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  13. 13.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  14. 14.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.From a rectangle 7 cm long and 11 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)?
  16. 16.A wall is 12 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  18. 18.A wall is 11 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 102 cm and its length is 26 cm. What is its width (in cm)?
  21. 21.From a rectangle 7 cm long and 7 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
  23. 23.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  24. 24.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  26. 26.From a rectangle 20 cm long and 14 cm wide, a rectangle 7 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  29. 29.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 ₹)?
  30. 30.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  31. 31.From a rectangle 10 cm long and 11 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.From a rectangle 17 cm long and 8 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)?
  33. 33.The perimeter of a rectangle is 106 cm and its length is 28 cm. What is its width (in cm)?
  34. 34.From a rectangle 12 cm long and 8 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
  36. 36.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 6 cm long and 9 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)?
  38. 38.The perimeter of a rectangle is 104 cm and its length is 28 cm. What is its width (in cm)?
  39. 39.A wall is 8 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 225
  2. 66
  3. 450
  4. 2470
  5. 37
  6. 69
  7. 3300
  8. 40
  9. 3060
  10. 4000
  11. 4000
  12. 16
  13. 39
  14. 300
  15. 63
  16. 2160
  17. 105
  18. 2750
  19. 10
  20. 25
  21. 34
  22. 9
  23. 2
  24. 4370
  25. 4
  26. 210
  27. 1680
  28. 24
  29. 1100
  30. 13
  31. 95
  32. 130
  33. 25
  34. 81
  35. 7
  36. 2080
  37. 49
  38. 24
  39. 1200
  40. 240

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