JEE Advance - Mathematics (1991 - No. 22)

What is the ratio for the sides of the rectangle so that the window transmits the maximum light ?

$$\frac{6}{6 + \pi}$$

$$\frac{3}{6 + \pi}$$

$$\frac{6 + \pi}{3}$$

$$\frac{6 + \pi}{6}$$

$$\frac{\pi}{6}$$