Subdividing the cross$-$section into the three simpler areas, $A_1,A_2$&$A_3,$ shown

$A_1=()2()2()2$

For the datum axis shown,

$\frac{?}{\text{b}\text{a}\text{r}}(y{)}_{\text{d}\text{a}\text{t}}=\frac{(0\mathrm{.}5A_1+3\mathrm{.}5A_2+6\mathrm{.}5A_3)(i{n}^3)}{(A_1+A_2+A_3)(i{n}^2)}=3\mathrm{.}875(in)$

Moment of inertia

The moment of inertia of area $A_1$ about $z$ axis is given as in $($:${?}^4\}$

$($i$)$ Moment of inertia of $A_2,$ about $z-$axis is given as $[($in ${?}^4)$

$($ii$)$ Moment of inertia of $A_3,$ about $z-$axis is given as: $$ in $($:${?}^4\}$

$($iii$)$ Moment of inertia of the entire $x-$section, about $z-$axis is given as $$ in $($:${?}^4$

ANSWER FILL IN BLANKS PLS$\}$