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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 589 · 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 55 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of a square is 24 cm. What is its perimeter (in cm)?
  4. 4.Each side of a square is 2 cm. What is its perimeter (in cm)?
  5. 5.A wall is 6 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.The perimeter of a rectangle is 50 cm and its length is 14 cm. What is its width (in cm)?
  7. 7.A square has a perimeter of 60 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 8 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
  12. 12.A wall is 10 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  14. 14.A square has a perimeter of 12 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
  17. 17.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 14 cm long and 13 cm wide, a rectangle 6 cm by 7 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 hexagon is 5 cm. What is its perimeter (in cm)?
  20. 20.A square has a perimeter of 76 cm. What is its area (in square cm)?
  21. 21.A wall is 11 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  23. 23.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  24. 24.Each side of a square is 4 cm. What is its perimeter (in cm)?
  25. 25.Each side of a square is 25 cm. What is its perimeter (in cm)?
  26. 26.A square has a perimeter of 16 cm. What is its area (in square cm)?
  27. 27.Each side of a square is 19 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 16 cm long and 12 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  34. 34.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.The perimeter of a rectangle is 80 cm and its length is 26 cm. What is its width (in cm)?
  36. 36.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 10 cm long and 6 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A wall is 4 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A wall is 12 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A wall is 8 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 2560
  2. 3600
  3. 96
  4. 8
  5. 810
  6. 11
  7. 225
  8. 2000
  9. 15
  10. 4
  11. 6
  12. 750
  13. 9
  14. 9
  15. 1330
  16. 3
  17. 51
  18. 140
  19. 30
  20. 361
  21. 880
  22. 4
  23. 36
  24. 16
  25. 100
  26. 16
  27. 76
  28. 176
  29. 2280
  30. 980
  31. 1260
  32. 150
  33. 176
  34. 2660
  35. 14
  36. 3400
  37. 58
  38. 560
  39. 960
  40. 2400

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