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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 510 · 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 65 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A square has a perimeter of 44 cm. What is its area (in square cm)?
  3. 3.A square has a perimeter of 80 cm. What is its area (in square cm)?
  4. 4.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 11 cm long and 15 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A square has a perimeter of 68 cm. What is its area (in square cm)?
  8. 8.A square has a perimeter of 20 cm. What is its area (in square cm)?
  9. 9.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  10. 10.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.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 ₹)?
  13. 13.From a rectangle 10 cm long and 11 cm wide, a rectangle 8 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  17. 17.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A square has a perimeter of 8 cm. What is its area (in square cm)?
  19. 19.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  20. 20.A square has a perimeter of 60 cm. What is its area (in square cm)?
  21. 21.A square has a perimeter of 56 cm. What is its area (in square cm)?
  22. 22.The perimeter of a rectangle is 86 cm and its length is 23 cm. What is its width (in cm)?
  23. 23.From a rectangle 18 cm long and 7 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.From a rectangle 15 cm long and 8 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A square has a perimeter of 36 cm. What is its area (in square cm)?
  26. 26.The perimeter of a rectangle is 88 cm and its length is 24 cm. What is its width (in cm)?
  27. 27.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.From a rectangle 15 cm long and 5 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)?
  29. 29.A wall is 9 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A wall is 9 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  32. 32.Each side of a square is 7 cm. What is its perimeter (in cm)?
  33. 33.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.From a rectangle 11 cm long and 5 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.The perimeter of a rectangle is 68 cm and its length is 26 cm. What is its width (in cm)?
  36. 36.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  37. 37.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A wall is 4 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.The perimeter of a rectangle is 74 cm and its length is 28 cm. What is its width (in cm)?

Answer key

  1. 1870
  2. 121
  3. 400
  4. 144
  5. 4370
  6. 130
  7. 289
  8. 25
  9. 65
  10. 25
  11. 1350
  12. 240
  13. 46
  14. 180
  15. 15
  16. 2
  17. 560
  18. 4
  19. 15
  20. 225
  21. 196
  22. 20
  23. 112
  24. 116
  25. 81
  26. 20
  27. 900
  28. 72
  29. 405
  30. 1890
  31. 7
  32. 28
  33. 1680
  34. 43
  35. 8
  36. 35
  37. 56
  38. 2090
  39. 240
  40. 9

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