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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 646 · 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 3 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A wall is 8 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A wall is 6 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
  5. 5.From a rectangle 6 cm long and 9 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A square has a perimeter of 44 cm. What is its area (in square cm)?
  7. 7.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A square has a perimeter of 72 cm. What is its area (in square cm)?
  10. 10.A square has a perimeter of 16 cm. What is its area (in square cm)?
  11. 11.A wall is 6 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of a square is 15 cm. What is its perimeter (in cm)?
  14. 14.A square has a perimeter of 28 cm. What is its area (in square cm)?
  15. 15.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 76 cm and its length is 27 cm. What is its width (in cm)?
  17. 17.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 14 cm long and 14 cm wide, a rectangle 11 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A wall is 10 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.From a rectangle 8 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)?
  21. 21.A square has a perimeter of 40 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.From a rectangle 14 cm long and 9 cm wide, a rectangle 11 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.The perimeter of a rectangle is 84 cm and its length is 26 cm. What is its width (in cm)?
  25. 25.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
  28. 28.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  31. 31.From a rectangle 20 cm long and 12 cm wide, a rectangle 14 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.From a rectangle 16 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)?
  33. 33.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A square has a perimeter of 24 cm. What is its area (in square cm)?
  36. 36.A wall is 10 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.The perimeter of a rectangle is 52 cm and its length is 14 cm. What is its width (in cm)?
  38. 38.A wall is 5 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  40. 40.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?

Answer key

  1. 750
  2. 1440
  3. 1050
  4. 11
  5. 51
  6. 121
  7. 36
  8. 780
  9. 324
  10. 16
  11. 1080
  12. 2000
  13. 60
  14. 49
  15. 45
  16. 11
  17. 6
  18. 108
  19. 900
  20. 67
  21. 100
  22. 1960
  23. 93
  24. 16
  25. 2200
  26. 160
  27. 6
  28. 96
  29. 1260
  30. 96
  31. 100
  32. 104
  33. 3500
  34. 4830
  35. 36
  36. 1350
  37. 12
  38. 800
  39. 10
  40. 12

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