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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.
Solution
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`
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