Question 130
Four points $A$, $B$, $C$, $D$ are marked on the parabola $y = x^2$ so that the quadrilateral $ABCD$ is a trapezoid ($AD \parallel BC$, $AD \gt BC$). Let $m$ and $n$ be the distances between the intersection point of the diagonals of the trapezoid and the midpoints of its bases $AD$ and $BC$, respectively.
Find the area of $ABCD$.
(D. Bazylev, I. Voronovich)
Find the area of $ABCD$.
(D. Bazylev, I. Voronovich)