Q.

PQRS is a square of area 24 sq. cm. T and V are the midpoints of PQ and RS, respectively. X and Y are points on the line joining T and V such that angle PXQ = RYS = 120°. Find the area (in sq. cm) of the hexagon PXQRYS.

A.  \(4\left(2\sqrt{3}-1\right)\)

B. \(2\left(6-2\sqrt{3}\right)\)

C. \(12\left(2+\sqrt{3}\right)\)

D. \(4\left(6-\sqrt{3}\right)\)

D. \(4\left(6-\sqrt{3}\right)\)