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A room is half as long again as it is broad. The cost of carpeting the room at Rs.5 per sq m is Rs.270 and the cost of papering the four walls at Rs.10 per sq m is Rs.1720. If a door and 2 windows occupy 8 sq cm. Find the dimensions of the room?

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let breadth =b meters
length =b/2 meters
Total carpet area =Total cost /cost per meter^2 = 270/5
b*b/2=54
breadth = 10.392 m
length =5.196 m
 height= 2*length*height+2*breadth*height=total wallpaper cost - cost of windows and door
height =b*h+2bh=172-8*3/100^2
h=(171.9976)/(3*b)
h=5.516 m

Dimension length*breadth*height = 2.196 * 10.392 * 5.516

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