PROBLEM $7\mathrm{.}57$

Knowing that the shaded area is equal to $25i{n}^2$ and that its moment of inertia with respect to $A{A}^{\text{'}}$ is $800i{n}^4,$ determine its moment of inertia with respect to $B{B}^{\text{'}},$ for $d_1=5in.$ and $d_2=2in.$