Area of the ceiling of a room 4m high is 48 metre square. If the area of 4 walls of the room is 112 metre square , calculate the length and breadth of the room.
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1
ANSWER
Let Length=l,breath=b,height=h
Area of four walls = 2h(l+b) = 108m
2
h:l=2:5,h:b=4:5 (Given)
∴h:l:b=4:10:5
Let h=4x,l=10x,b=5x
Now, the area of four walls, 2×4x(15x)=108
x
2
=
120
108
Then the area of the floor is l×b=10x×5x=50x
2
=50×
120
108
=45m
2
Hence, option 'C' is correct.
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