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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 179 · 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 70 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A wall is 11 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 46 cm and its length is 15 cm. What is its width (in cm)?
  5. 5.A wall is 3 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A rectangular field is 85 m long and 65 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  8. 8.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  10. 10.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 ₹)?
  11. 11.The perimeter of a rectangle is 68 cm and its length is 24 cm. What is its width (in cm)?
  12. 12.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  13. 13.A square has a perimeter of 80 cm. What is its area (in square cm)?
  14. 14.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
  18. 18.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  21. 21.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.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 ₹)?
  23. 23.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 50 cm and its length is 15 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 66 cm and its length is 21 cm. What is its width (in cm)?
  26. 26.The perimeter of a rectangle is 44 cm and its length is 16 cm. What is its width (in cm)?
  27. 27.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 24 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  31. 31.The perimeter of a rectangle is 66 cm and its length is 18 cm. What is its width (in cm)?
  32. 32.From a rectangle 10 cm long and 14 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.From a rectangle 11 cm long and 7 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.The perimeter of a rectangle is 86 cm and its length is 28 cm. What is its width (in cm)?
  36. 36.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A square has a perimeter of 12 cm. What is its area (in square cm)?
  38. 38.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?

Answer key

  1. 4370
  2. 1320
  3. 55
  4. 8
  5. 240
  6. 2700
  7. 7
  8. 1050
  9. 5
  10. 420
  11. 10
  12. 110
  13. 400
  14. 24
  15. 2550
  16. 50
  17. 3
  18. 1540
  19. 2640
  20. 45
  21. 1530
  22. 960
  23. 4050
  24. 10
  25. 12
  26. 6
  27. 4600
  28. 2970
  29. 36
  30. 3
  31. 15
  32. 112
  33. 57
  34. 120
  35. 15
  36. 2700
  37. 9
  38. 720
  39. 2160
  40. 6

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