A W $867$ section is joined to a $Cl1020$ section to form a structural member that has the cross section shown. Calculate $I_a$ and $I_{yy}$ for this cross section about its overall centroid. $($See following page for the properties of the structural sections.$)$

W$867$ wide$-$flange beam

C$1020$ channel beam

$A=19\mathrm{.}7i{n}^2$

$I_{xa}=272i{n}^4$

$I_{yy}=88\mathrm{.}6i{n}^4$

$I_O=78\mathrm{.}9i{n}^4$

$I_{yy}=2\mathrm{.}81i{n}^4$