Question

The length and the breadth of a hall are 18 m and 12 m respectively. The sum of the areas of the floor and the roof is equal to the area of four walls. Find the height of the wall.

Answer 1

Given,
Length = 18 m

Breadth = 12 m.

Area of roof = lb

Area of floor = lb

Total area of roof & floor = 2lb

= 2(12)(18)

=432 Sq.mts

Area of 4 walls = lh + lh + bh + bh

=2( lh + bh)

We know that,
Area of 4 walls = Area of floor and roof.

2 ( 18 h + 12h) =432

30 h =216

h =216/30

h =7.2 m.

Therefore, The height of room is 7.2 m