Area of 4 walls of a room is 108 sq meter. If height and length of room is in ratio 2:5 and height and breadth is in the ratio 4:5. Find the are of the floor of the room

Answer 1

h/L = 2/5, L = 2.5h.

h/W = 4/5, W = 1.25h.

2(h*L) + 2(h*W) = 108 m^2.
2(h*2.5h) + 2(h*1.25h) = 108,
5h^2 + 2.5h^2 = 108, h = 3.79 m.

A = L*W = 2.5h*1.25h = 2.5*3.79 * 1.25*3.79 = 45 m^2.