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Moderate

Rectangles and Right Triangles

ACTMAT-64YS1F

In the figure below, rectangle ABEF shares two of its sides with $ {\Delta} $ ABC and $ {\Delta} $ BED.

What is the area of rectangle ABEF?

A

$96$

B

$192$

C

$ {96\sqrt{6}} $

D

$ {192\sqrt{3}} $

E

$384$