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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 99 · 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 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  3. 3.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  5. 5.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  6. 6.A wall is 9 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  8. 8.A wall is 12 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A square has a perimeter of 20 cm. What is its area (in square cm)?
  11. 11.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A wall is 10 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  14. 14.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 36 cm. What is its area (in square cm)?
  17. 17.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  18. 18.Each side of a square is 2 cm. What is its perimeter (in cm)?
  19. 19.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  20. 20.A wall is 9 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 16 cm long and 15 cm wide, a rectangle 7 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 11 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.From a rectangle 6 cm long and 14 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)?
  26. 26.A square has a perimeter of 48 cm. What is its area (in square cm)?
  27. 27.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 9 cm long and 9 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)?
  29. 29.From a rectangle 9 cm long and 7 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)?
  30. 30.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  31. 31.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 18 cm long and 15 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.From a rectangle 14 cm long and 13 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 10 cm long and 6 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)?
  36. 36.From a rectangle 10 cm long and 14 cm wide, a rectangle 3 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.From a rectangle 19 cm long and 10 cm wide, a rectangle 16 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 95 m long and 85 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?

Answer key

  1. 960
  2. 115
  3. 48
  4. 30
  5. 120
  6. 270
  7. 3
  8. 1680
  9. 5000
  10. 25
  11. 1620
  12. 600
  13. 80
  14. 945
  15. 5800
  16. 81
  17. 50
  18. 8
  19. 57
  20. 1080
  21. 184
  22. 2520
  23. 400
  24. 550
  25. 79
  26. 144
  27. 192
  28. 73
  29. 49
  30. 2
  31. 2000
  32. 242
  33. 5670
  34. 142
  35. 54
  36. 107
  37. 142
  38. 675
  39. 2880
  40. 112

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