Question

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 1

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=`4.4xx3=13.2m^2` 

Breadth of the carpet` 80cm=0.8m` 

We know:

Area of the room = Area of the carpet 

`"Length of the carpet"="Area of the room" /"Breadth of the carpet"` 

=`13.5/0.8` 

=`16.5m` 

Cost of 1 m carpet =`Rs80` 

Cost of 16.5 m carpet=`80xx16.5= Rs1,320`