First we need to know the measure of the side, we can use the next trigonometric function
AE=2
[tex]\tan (30)=\frac{AE}{BE}=\frac{2}{BE}[/tex]
we isolate the BE
[tex]BE=\frac{2}{\tan(30)}=2\sqrt[]{3}[/tex]
the area of triangle ABE
[tex]A_{\text{ABE}}=\frac{1}{2}\cdot2\cdot2\sqrt[]{3}=\text{ }2\sqrt[]{3}[/tex]
For the total area of the rhombus is
[tex]A=4(2\sqrt[]{3})[/tex][tex]A=8\sqrt[]{3}[/tex]
