$3.$ Please consider the trapezoid shown below which has been cut from a thin uniform board. It has two right angles. The two shortest sides are both a length $50\mathrm{.}0$ cm and the longest side has a length of $90\mathrm{.}0$ cm $.$ Mass $\backslash ($ M $\backslash )$ of the trapezoid is $600$ g $.$

Please determine the moment of inertia of the trapezoid for rotation about its right vertical side. To do this, break the trapezoid up into vertical strips. Make sure to label your picture.