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