A square plate of edge a//2 is cut out f...

A square plate of edge `a//2` is cut out from a uniform square plate of edge `'a'` shown in figure. The mass of the remaining portion is `M`. The moment of inertia of the shaded portion about an axis passing through `'O'(` centre of the square of side `a)` and perpendicular to plane of the plate is `:`

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