Consider:

$a=8$ in$.,b=6$ in$.,$ and $h=3$ in$.$

Answer the following questions:

Locate the $x-$coordinate of the centroid, $\stackrel{}{x},$ of the shaded area, relative to the origin. Put your result in the cell bellow. The parallel$-$axis theorem should also be accounted for in the moment of inertia for the square. The moment of inertia for a square is bh$^3/12.$

Estimate the moment of inertia for the shaded area about the $x-$axis, $I_x.$