The distance between the focus and directrix of the parabola ${\left(\sqrt{3}x-y\right)}^2=48\left(x+\sqrt{3}y\right)$ is

Given, the equation of parabola is ${\left(\frac{\sqrt{3}x-y}{2}\right)}^2=24\left(\frac{x+\sqrt{3}y}{2}\right)$
$\Rightarrow$ length of the latus rectum $=4a=24$
$\Rightarrow$ distance between the focus and directrix is equal to $2a=12$