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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 350 · 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 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.From a rectangle 8 cm long and 14 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  4. 4.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  7. 7.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  8. 8.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 60 cm and its length is 18 cm. What is its width (in cm)?
  10. 10.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  11. 11.The perimeter of a rectangle is 86 cm and its length is 28 cm. What is its width (in cm)?
  12. 12.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.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 ₹)?
  17. 17.From a rectangle 9 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)?
  18. 18.A wall is 4 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  20. 20.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
  22. 22.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 66 cm and its length is 18 cm. What is its width (in cm)?
  24. 24.From a rectangle 16 cm long and 5 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A wall is 8 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.Each side of a square is 18 cm. What is its perimeter (in cm)?
  27. 27.From a rectangle 12 cm long and 12 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A square has a perimeter of 64 cm. What is its area (in square cm)?
  29. 29.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
  32. 32.Each side of a square is 21 cm. What is its perimeter (in cm)?
  33. 33.The perimeter of a rectangle is 40 cm and its length is 18 cm. What is its width (in cm)?
  34. 34.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A wall is 5 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A wall is 9 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.The perimeter of a rectangle is 34 cm and its length is 13 cm. What is its width (in cm)?
  38. 38.From a rectangle 17 cm long and 7 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.Each side of a square is 7 cm. What is its perimeter (in cm)?
  40. 40.A square has a perimeter of 80 cm. What is its area (in square cm)?

Answer key

  1. 2880
  2. 108
  3. 80
  4. 16
  5. 2860
  6. 192
  7. 152
  8. 55
  9. 12
  10. 8
  11. 15
  12. 1210
  13. 1440
  14. 176
  15. 4320
  16. 1440
  17. 57
  18. 200
  19. 30
  20. 120
  21. 11
  22. 2600
  23. 15
  24. 70
  25. 560
  26. 72
  27. 116
  28. 256
  29. 1500
  30. 2600
  31. 9
  32. 84
  33. 2
  34. 6510
  35. 1500
  36. 2700
  37. 4
  38. 75
  39. 28
  40. 400

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