$2$C$.$ Given: Consider the following beam's cross$-$sectional area about the centroidal $x$ and $y$ axes. $(4$ pts$)$

Find: $($a$)$ Using the method of sections determine the moment of inertia of the following beam's crosssectional area about the $x-$axis.

$($b$)$ Intuitively, do you expect the moment of inertia about the $y-$axis to be larger, the same or smaller than $I_x.$ No work need be shown.