Compute the coordinates of the centroid $(\stackrel{}{x}\frac{,}{b}ar(y))$ of the area shown. Also compute the area moment of intertia about the $x$ and $y$ axes shown in the figure and the $x^{\text{'}}$ and $y^{\text{'}}$ axes with origin at the centroid.

Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.The x coordinate of the centroid is bar$($x$)=$ in$.$

The $y$ coordinate of the centroid is $\frac{?}{\text{b}\text{a}\text{r}}(y)=$ in$.$