# Insufficient Information in Geometry?

Geometry Level 3

In the above diagram, $$ABCD$$ is a square and point $$E$$ lies on side $$CD$$.
Line segment $$AE$$ and diagonal $$BD$$ intersect at point $$F$$, such that $$BF : FD = 4 : 3$$.

If the combined area of the 2 blue triangles is $$100 \text{ cm}^{2}$$, find the area of the square in $$\text{cm}^{2}$$.


Note: The figure is not drawn to a scale

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