Find the area...

Geometry Level 3

The diagram above shows a rectangle ABCDABCD such that EE is the midpoint of BCBC and FF is the midpoint of CDCD. The diagonal BDBD intersects AFAF and AEAE at QQ and TT respectively. The vertical line PSPS passing through QQ is perpendicular to ABAB and intersects AEAE at RR. It is also given that AB=CD=12AB=CD=12 and BC=AD=6BC=AD=6.

Find the area of the triangle QRT\triangle QRT.


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