A particular beam has the cross$-$section shown with $a=140mm$ and $b=45mm.$ The distance from the base of the cross$-$section to the centroid is most nearly:

A$.143$ mm

B$.155$ mm

C$.161$ mm

D$.166$ mm

E$.180$ mm

F$.189$ mm

G$.197$ mm

H$.206$ mm

I. $223$ mm

J$.237$ mm

The area moment of inertia of the cross$-$section around the centroidal $x-$axis is most nearly:

A$.19\mathrm{.}7{10}^{6}m{m}^4$

B$.25\mathrm{.}4{10}^{6}m{m}^4$

C$.29\mathrm{.}7{10}^{6}m{m}^4$

D$.37\mathrm{.}4{10}^{6}m{m}^4$

E$.43\mathrm{.}6{10}^{6}m{m}^4$

F$.52\mathrm{.}6{10}^{6}m{m}^4$

G$.63\mathrm{.}9{10}^{6}m{m}^4$

H$.75\mathrm{.}0{10}^{6}m{m}^4$

I. $86\mathrm{.}8{10}^{6}m{m}^4$

J$.98\mathrm{.}1{10}^{6}m{m}^4$