Question 115
The quadrilateral $ABCD$ is inscribed in the parabola $y = x^2$. It is known that $\angle BAD = 90^\circ$, the diagonal $AC$ is parallel to the axis $Ox$ and $AC$ is the bisector of the angle $BAD$.
Find the area of the quadrilateral $ABCD$ if the length of the diagonal $BD$ is equal to $p$.
Find the area of the quadrilateral $ABCD$ if the length of the diagonal $BD$ is equal to $p$.