# 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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