IMAT 2018 Q54 [Area of Pentagon]

A pentagon has one line of symmetry. All five sides are 6 cm, and the interior angles, in anticlockwise order, are 60°, 150°, 90°, 90° and 150°.

What is the area of this pentagon?

A. 3(5+\sqrt{3}) cm^2
B. 9(2+\sqrt{3}) cm^2
C. 3(4+\sqrt{3}) cm^2
D. 3(12+\sqrt{3}) cm^2
E. 9(4+\sqrt{3}) cm^2

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