Let ABCD be a trapezium whose vertices lie on the parabola y^2=4 x. Let the sides AD and BC of the trapezium be parallel to y -axis. If the diagonal…

Let ABCD be a trapezium whose vertices lie on the parabola $\displaystyle \mathrm{y}^2=4 \mathrm{x}$. Let the sides AD and BC of the trapezium be parallel to $\displaystyle y$-axis. If the diagonal $\displaystyle A C$ is of length $\displaystyle \frac{25}{4}$ and it passes through the point $\displaystyle ( 1,0 )$, then the area of $\displaystyle A B C D$ is