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Perimeter and Area of a Parallelogram

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Parallelogram $EUCD$ has an area of $180\sqrt { 3 }$ square inches.

What is the perimeter of $EUCD$?

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A

$12\sqrt { 2 }$ inches

B

$15\sqrt { 2 }$ inches

C

$54\sqrt { 2 }$ inches

D

$18\sqrt { 2 }+6\sqrt { 6 }$ inches

E

$54\sqrt { 2 }+6\sqrt { 6 }$ inches