# A geometry problem by Ajay Sambhriya

Geometry Level 4

The rectangle $$ABCD$$ have dimension $$6\times 4$$ with $$AB = 6, BC = 4$$ and $$HG \parallel AB$$, where $$G$$ is a midpoint of $$AC$$ if $$\dfrac{GF}{FA} = \dfrac21$$.

Find the area of the shaded region.

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