If the points of intersection of two distinct conics x^2+y^2=4 b and x^2/16+y^2/b^2=1 lie on the curve y^2=3 x^2, then 3 √ 3 times the area of the…

If the points of intersection of two distinct conics $\displaystyle x^2+y^2=4 b$ and $\displaystyle \frac{x^2}{16}+\frac{y^2}{b^2}=1$ lie on the curve $\displaystyle y^2=3 x^2$, then $\displaystyle 3 \sqrt{3}$ times the area of the rectangle formed by the intersection points is $\displaystyle \_\_\_\_$.