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In the figure below, the sides of inscribed rhombus ABCD bisect the sides of rectangle EFGH.

If the dimensions of rectangle EFGH are 12 cm by 8 cm, what is the area of rhombus ABCD, in square centimeters?

A

$24$

B

$24\sqrt { 3 }$

C

$24\sqrt { 13 }$

D

$48$

E

$96$

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