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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 470 · 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.From a rectangle 12 cm long and 6 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  3. 3.A wall is 5 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 24 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.From a rectangle 18 cm long and 9 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.The perimeter of a rectangle is 86 cm and its length is 26 cm. What is its width (in cm)?
  11. 11.A square has a perimeter of 80 cm. What is its area (in square cm)?
  12. 12.From a rectangle 8 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)?
  13. 13.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 16 cm. What is its area (in square cm)?
  17. 17.A wall is 8 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 17 cm long and 6 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  21. 21.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A square has a perimeter of 32 cm. What is its area (in square cm)?
  24. 24.The perimeter of a rectangle is 32 cm and its length is 13 cm. What is its width (in cm)?
  25. 25.Each side of a square is 5 cm. What is its perimeter (in cm)?
  26. 26.A wall is 11 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 95 m long and 60 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A square has a perimeter of 60 cm. What is its area (in square cm)?
  32. 32.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  33. 33.From a rectangle 15 cm long and 7 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  35. 35.From a rectangle 12 cm long and 7 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 13 cm long and 6 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.From a rectangle 20 cm long and 9 cm wide, a rectangle 17 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?

Answer key

  1. 63
  2. 96
  3. 150
  4. 42
  5. 36
  6. 5060
  7. 66
  8. 7250
  9. 161
  10. 17
  11. 400
  12. 60
  13. 1120
  14. 2000
  15. 3420
  16. 16
  17. 800
  18. 168
  19. 75
  20. 144
  21. 115
  22. 1470
  23. 64
  24. 3
  25. 20
  26. 1320
  27. 1540
  28. 1920
  29. 4650
  30. 2420
  31. 225
  32. 2
  33. 89
  34. 70
  35. 48
  36. 30
  37. 66
  38. 61
  39. 2500
  40. 9

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