The beam section shown in figure $($Figure $1)$ has dimensions H$1=25$ mm$,$ H$2=11$ mm$,$ W$1=12$ mm$,$ W$2=25$ mm$,$ and R $=6$ mm$.$ What is the y$-$coordinate of the centroid? Use the table below to organize your calculations. $($To determine the y

$-$coordinate of the centroid, calculate y$^($~$)$and then y$^($~$)$A

for each region, add the results, and then divide by the total area, y$^(-)=$ y$^($~$)$A$/$ A$)$

$.$