From the topic on Parallel Axes Theorem, suppose a similar problem from exercise $9\mathrm{.}4($model problem$)$

is presented while working in an engineering company where a $W1657$ laminated steel beam has

been manufactured, which has increased its resistance by attaching a $10\frac{3}{4}$ inch plate to its upper

flange as shown in Figure $4.$ Determine the moment of inertia and radius of gyration of the composite

section about an axis that is parallel to the plate and passing through the centroid $C$ of the section.