The formula of the area of a hexagon is
[tex]A=\frac{3\sqrt[]{3}s^2}{2}[/tex]Where s = 150(root)3. Then,
[tex]150\sqrt[]{3}=\frac{3\sqrt[]{3}s^2}{2}[/tex]Then, we solve for s
[tex]\begin{gathered} 2\cdot150=3s^2 \\ \frac{300}{3}=s^2 \\ s=\sqrt[]{100} \\ s=10 \end{gathered}[/tex]