# The Area of Rectangle (The More Challenging Version)

Geometry Level pending

There is a square $$ABCD$$ with side length of $$6$$. Points $$E$$ and $$F$$ are on lines $$AB$$ and $$BC$$ respectively such that $$AE = 1.5$$ and $$FC = 2$$. Points $$G$$ and $$H$$ exists such that $$EFGH$$ is a rectangle and $$D$$ lies on line $$GH$$. Find the area of rectangle $$EFGH$$.

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