A uniform metal rod is bent units L-shaped with the bent arms at 90 to each other. The distance of the center of mass of the remaining portion from the center of the original sheet is

Question

$$\begin {array} {1 1} (a)\;\frac{1}{4 \sqrt 2}m & \quad (b)\;\frac{1}{2 \sqrt 2}\;m \\ (c)\;\frac{1}{\sqrt 2}\;m & \quad  (d)\;\frac{1}{8 \sqrt 2}\;m \end {array}$$