Find the Centroid for the built$-$up shape shown below. Consider the plate to be centered over the W shape.

See Wide$-$Flange Section Data Below:

W $1250$

$x=9\mathrm{.}33$ in: $y=10\mathrm{.}52$ in$.$

$x=4\mathrm{.}04$ in $y=10\mathrm{.}52in.$

$x=9\mathrm{.}33$ in: $y=2\mathrm{.}15in.$

$x=4\mathrm{.}04$ inc $y=2\mathrm{.}15$ in