Let P (10,2 √ 15 ) be a point on the hyperbola x^2/(a^2)-y^2/(b^2)=1, whose foci are S and S'. If the length of its latus rectum is 8, then the…

Let $\displaystyle \mathrm{P}(10,2 \sqrt{15})$ be a point on the hyperbola $\displaystyle \frac{x^2}{\mathrm{a}^2}-\frac{y^2}{\mathrm{~b}^2}=1$, whose foci are S and S'. If the length of its latus rectum is $\displaystyle 8$ , then the square of the area of $\displaystyle \Delta \mathrm{PSS}^{\prime}$ is equal to: