In the adjoining figure ABC is an equilateral triangle inscribeing a square of maximum possible area . Again in this square there is an equilateral triangle whose side is same as that of the square . Further the smaller equilateral triangle inscribes a square of maximum possible area . What is the area of the innermost square if the each side of the outermost triangle be 0.01 m ?

Options

A. a. `(873-504 sqrt(3)) cm^(2) `
B. b. `(738-504sqrt(3)) cm^(2) `
C. c. `(873-405sqrt(2))cm^(2) `
D. d. none of these

Answer

A