# A right triangle inside a square

Geometry Level 3

Triangle $$AEF$$ is a right triangle with $$AE=4$$ and $$EF=3$$. The triangle is inscribed inside square $$ABCD$$ ($$E$$ lies on $$BC$$ and $$F$$ lies on $$CD$$).(note: it is right angled at E)

What is the area of the square $$ABCD$$ to 3 decimal places?

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