Question 69
$ABCD$ is an isosceles trapezoid with sides of lengths $AB=15$, $BC=DA=5$, $CD=7$. On the sides of $ABCD$, externally to $ABCD$, four squares are constructed. With reference to the figure, what is the area of the polygon $A_1A_2B_1B_2C_1C_2D_1D_2$?
(A) $297+35\sqrt{5}$
(B) 396
(C) 423
(D) $105+144\sqrt{5}$
(E) $200\sqrt{5}$
(A) $297+35\sqrt{5}$
(B) 396
(C) 423
(D) $105+144\sqrt{5}$
(E) $200\sqrt{5}$