Question

The area of four walls of a room is 108 m2. If the height and length of the room are in the ratio of 2 : 5 respectively and the height and breadth are in the ratio 4 : 5 respectively, then the area of the floor of the room is

Answer 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