Question

The length of a room is 3 times its height and breadth is 3/2 times its height. The cost of whitewashing the wall at the rate of rs 1.50 per sq.m is rs 216. Find the dimensions of the room

Answer 1

Answer

Height=h

Length= 3*h

Breadth= 3/2*h

Area= 2(l+b)h

Area= 2(3h+3/2h)h

=2*6h+3h/2*h

= 2*9h/2*h

= 18h^2/2

=h^2=9

=h=√9

=h=3m

Thus,

Length=3*3=9m

Breadth=3/2*3=9/2=4.5m

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