# Try it! Just a little geometry

Geometry Level 3

$$ABCD$$ is a square which has an area of $$1$$. $$E$$ and $$F$$ are points on the square's sides as shown in the figure above. $$\Delta AEF$$ has a perimeter of $$2$$. Diagonal $$BD$$ divides $$\Delta ECF$$ into two pieces: a smaller triangle and a quadrilateral. Which has a larger area?

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