MathNet 2016-part-06 — 184 problems (EN–VI) Question 15

$A$ and $B$ are opposite vertices of a regular hexagon. $C$ and $D$ are midpoints of two opposite sides. If the area of the hexagon is $126$, then $AB \times CD$ is

(A) $129$ (B) $132$ (C) $84\sqrt{3}$ (D) $168$ (E) $248$