A3. A regular hexagon $A B C D E F$ has area 1. What is the area of the kite $A C D E$?
A) $\frac{1}{4} \sqrt{6}$
B) $\frac{2}{3}$
C) $\frac{3}{4}$
D) $\frac{5}{6}$
E) $\frac{1}{2} \sqrt{3}$

![](https://cdn.mathpix.com/cropped/2024_04_17_fae9e9df1e99e6590d6bg-1.jpg?height=359&width=323&top_left_y=1708&top_left_x=1415)
A3. B) $\frac{2}{3} \quad$ Connect the center $M$ with $A, C$, and $E$. Also connect $C$ with $E$. This divides the hexagon into six equal triangles, of which four form the kite.

![](https://cdn.mathpix.com/cropped/2024_04_17_eb67361d5b5f4c2be0e0g-1.jpg?height=337&width=309&top_left_y=1568&top_left_x=1496)