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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 344 · 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.The perimeter of a rectangle is 72 cm and its length is 20 cm. What is its width (in cm)?
  2. 2.A wall is 8 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 11 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.From a rectangle 19 cm long and 5 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)?
  8. 8.A wall is 8 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.From a rectangle 7 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)?
  10. 10.A wall is 7 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 92 cm and its length is 24 cm. What is its width (in cm)?
  13. 13.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.From a rectangle 18 cm long and 13 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)?
  17. 17.A square has a perimeter of 20 cm. What is its area (in square cm)?
  18. 18.From a rectangle 8 cm long and 7 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)?
  19. 19.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  20. 20.A wall is 11 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 14 cm long and 8 cm wide, a rectangle 12 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
  24. 24.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  25. 25.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.From a rectangle 7 cm long and 8 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)?
  27. 27.From a rectangle 16 cm long and 6 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.Each side of a square is 10 cm. What is its perimeter (in cm)?
  29. 29.Each side of an equilateral triangle is 13 cm. What is its perimeter (in 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 50 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  33. 33.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  34. 34.A wall is 10 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 11 cm long and 7 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)?
  37. 37.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 16
  2. 240
  3. 128
  4. 18
  5. 2240
  6. 1100
  7. 87
  8. 600
  9. 65
  10. 525
  11. 69
  12. 22
  13. 5800
  14. 1440
  15. 400
  16. 180
  17. 25
  18. 50
  19. 20
  20. 880
  21. 52
  22. 1700
  23. 4
  24. 12
  25. 240
  26. 53
  27. 95
  28. 40
  29. 39
  30. 2
  31. 1700
  32. 80
  33. 176
  34. 900
  35. 114
  36. 62
  37. 770
  38. 600
  39. 1600
  40. 1050

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