Consider the beam's cross$-$sectional area shown in $($Figure $1).$ Suppose that aa $=4$ in$.$in$.,$ bb $=9$ in$.$in$.,$ and cc $=1$ in$.$in$.$

Figure

$1$ of $1$

Part A

Part complete

Determine the distance y$$y$$ to the centroid of the beam's cross$-$sectional area.

Express your answer to three significant figures and include the appropriate units.

y$$y$=$

$3\mathrm{.}27$ inin

Part B

Determine the moment of inertia about the centroidal x$$x$$ axis.