Rectangle Divisions

Geometry Level 3

\(BCDF\) is a rectangle. Triangle \(ABE \) has an area of \( 2 \text{ cm}^2 \). Triangle \(BEF \) has an area of \( 3 \text{ cm}^2 \).

Find the area of the blue region (in \( \text{cm} ^2 \)). Give your answer to 1 decimal place. (The figure is not drawn to scale. )

Note: This question is supposed to be harder than it looks like. Do not assume anything that is not stated in the problem! (Hint: Angle E is NOT 90 degrees, nor is A the midpoint of BC.)

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