If a point $A_1$ is in the interior of an equilateral triangle $ABC$ and point $A_2$ is in the interior of $\triangle{A_1BC}$, prove that $I.Q. (A_1BC) > I.Q.(A_2BC)$, where the isoperrimetric quotient of a figure $F$ is defined by $I.Q.(F) = \frac{\text{Area (F)}}{\text{[Perimeter (F)]}^2}$