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# Moment of inertia of a rectangular plate about an axis passing through its centre and perpendicular to its plane

$\begin {array} {1 1} (a)\;\frac{Ml^2}{b}+\frac{Mb^2}{b} & \quad (b)\;\frac{M}{12} (l^2+b^2) \\ (c)\;\frac{M}{3} (l^2+b^2) & \quad (d)\;\frac{M}{4}(l^2+b^2) \end {array}$

Perpendicular axis $I_z =I_{XX'}+I_{XY'}$
$\qquad= \large\frac{Mb^2}{12}+\frac{Ml^2}{12}$