Insufficient Information in Geometry?

Geometry Level 3

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

If the combined area of the 2 blue triangles is 100 cm2 100 \text{ cm}^{2} , find the area of the square in cm2\text{cm}^{2} .

Note: The figure is not drawn to a scale


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