The beam section below is solid and homogenous and has the following dimensions:

b$1=42mm($top flange width$),b2=42mm($bottom flange width$)$ and $b3=18mm($web width$).$

$d_1=90mm($section depth$),d_2=15mm($top flange depth$)$ and $d_3=25mm($bottom flange depth$).$

For the solid homogeneous beam section shown below, determine its centroid coordinate $\frac{?}{\text{b}\text{a}\text{r}}(y)$ relative to the

origin $(0,0)$ of the $x-$y axes. Give your answer for $\frac{?}{\text{b}\text{a}\text{r}}(y)$ in millimetres $(mm)$ to two decimal places