CAYLEY 2008 Problem 20

Past Contests CAYLEY 2008
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1

In the diagram, R is on QS and QR=8. Also, PR=12,\angle{PRQ}=120^\circ, and \angle{RPS}=90^\circ. What is the area of \triangle{QPS?}

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Answer Choices
A. 72\sqrt3
B. 72
C. 36
D. 60\sqrt3
E. 96\sqrt3