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Length of a class room is two times it...

Length of a class room is two times its height and its breadth is `1 1/2` times its height. The cost of white-washing the walls at the rate of `R s .1.60\ p e r\ m^2` is `R s .179.20.` Find the cost of tiling the floor at the rate of `R s .6.75\ p e r\ m^2`

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Let height of the room be `h`.
Length of the room`=2h`
Breadth of the room`=3/2h`
Area of `4` walls`=179.20/1.60=112m^2`
`2(l+b)timesh=112`
`2(2h+3/2h)×h=112`
`2times7/2timesh^2=112`
`h^2=(112×2)/14=16h=sqrt16=4m`
Length`=4×2=8m`
Breadth`=(3/2)times4=6 m`
For tiling the floor area`=l×b=8×6=48m`
Cost of tiling`=48×Rs. 6.75=Rs.324`
`therefore` Cost of tiling`=Rs.324`
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