A new room is to be constructed in a house to increase the living area into it. A window is to be opened on one of the walls of the room in shape of rectangle surmounted by an equilateral triangle. If the perimeter of window is 12 m and they want to bring maximum light from the window.

For what value of x, the area will be maximum ?

Options

A. `12/(6+sqrt3)`
B. `12/(6-sqrt3)`
C. `(18-6sqrt3)/(6-sqrt3)`
D. `(6-sqrt3)/12`

Answer

B