A room 4.9 m long and 3.5 m board is covered with carpet, leaving an u

1.	A room 4.9 m long and 3.5 m board is covered with carpet, leaving an uncovered margin of 25 cm all around the room. If the breadth of the carpet is 80 cm, find its cost at ₹ 80 per metre.
Answer» Width of the room left uncovered = 0.25 m Now, Length of the room to be carpeted = 4.9 - (0.25 + 0.25) = 4.9 - 0.5 = 4.4 m Breadth of the room be carpeted = 3.5 - (0.25 + 0.25) = 3.5 - 0.5 = 3m Area to be carpeted = 4.4 x 3 = 13.2m² Breadth of the carpet 80 cm = 0.8 m. We know: Area of the room = Area of the carpet Length of the carpet = \(\frac{Area\,of\,the\,room}{Breadth\,of\,the\,carpet}\) = \(\frac{13.5}{0.8}\) = 16.5m Cost of 1 m carpet = Rs 80 Cost of 16.5 m carpet = 80 x 16.5 = Rs 1,320

A room 4.9 m long and 3.5 m board is covered with carpet, leaving an uncovered margin of 25 cm all around the room. If the breadth of the carpet is 80 cm, find its cost at ₹ 80 per metre.

Answer»

Width of the room left uncovered = 0.25 m

Now,

Length of the room to be carpeted = 4.9 - (0.25 + 0.25) = 4.9 - 0.5 = 4.4 m

Breadth of the room be carpeted = 3.5 - (0.25 + 0.25) = 3.5 - 0.5 = 3m

Area to be carpeted = 4.4 x 3 = 13.2m²

Breadth of the carpet 80 cm = 0.8 m.

We know:

Area of the room = Area of the carpet

Length of the carpet = \(\frac{Area\,of\,the\,room}{Breadth\,of\,the\,carpet}\)

= \(\frac{13.5}{0.8}\)

= 16.5m

Cost of 1 m carpet = Rs 80

Cost of 16.5 m carpet = 80 x 16.5 = Rs 1,320