Find $\frac{?}{\text{b}\text{a}\text{r}}(y)$ and the moment of inertia about the $x-$axis, $Y-$axis, and $x\text{'}-$axis of the cross$-$sectional area, given:

$L_1=12$ in$,L_2=2$ in$,L_3=8$ in$,L_4=1$ in$.$

$\frac{?}{\text{b}\text{a}\text{r}}(y)=$

$in$

$I_x=$

$i{n}^4,I_Y=$

$i{n}^4$

$I_{\text{'}}=$

$i{n}^4$