# Find the area...

Geometry Level 4

The diagram above shows a rectangle $$ABCD$$ such that $$E$$ is the midpoint of $$BC$$ and $$F$$ is the midpoint of $$CD$$. The diagonal $$BD$$ intersects $$AF$$ and $$AE$$ at $$Q$$ and $$T$$ respectively. The vertical line $$PS$$ passing through $$Q$$ is perpendicular to $$AB$$ and intersects $$AE$$ at $$R$$. It is also given that $$AB=CD=12$$ and $$BC=AD=6$$.

Find the area of the triangle $$\Delta QRT$$.

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