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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 576 · 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 wall is 8 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  3. 3.Each side of a square is 16 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  5. 5.A wall is 7 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A wall is 10 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 11 cm long and 6 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A square has a perimeter of 60 cm. What is its area (in square cm)?
  12. 12.A square has a perimeter of 48 cm. What is its area (in square cm)?
  13. 13.From a rectangle 10 cm long and 14 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  15. 15.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  16. 16.A wall is 5 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.The perimeter of a rectangle is 78 cm and its length is 25 cm. What is its width (in cm)?
  19. 19.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  20. 20.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
  22. 22.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A square has a perimeter of 52 cm. What is its area (in square cm)?
  25. 25.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  27. 27.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 6 cm long and 11 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)?
  29. 29.Each side of a square is 5 cm. What is its perimeter (in cm)?
  30. 30.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A wall is 3 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A wall is 4 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A wall is 6 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 7 cm long and 7 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A square has a perimeter of 8 cm. What is its area (in square cm)?
  38. 38.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 1600
  2. 48
  3. 64
  4. 7
  5. 980
  6. 1000
  7. 30
  8. 900
  9. 45
  10. 54
  11. 225
  12. 144
  13. 133
  14. 4
  15. 144
  16. 675
  17. 2000
  18. 14
  19. 3
  20. 2200
  21. 3
  22. 90
  23. 3040
  24. 169
  25. 5000
  26. 9
  27. 152
  28. 64
  29. 20
  30. 1960
  31. 420
  32. 840
  33. 360
  34. 3780
  35. 40
  36. 43
  37. 4
  38. 80
  39. 700
  40. 1100

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