Question 51
Two lines pass through the point $F(1; 1)$ on the Cartesian plane. These lines are perpendicular to each other, one of them intersects the right branch of the hyperbola $y = \frac{1}{2x}$ at the points $A$ and $C$ ($C$ has bigger $x$-coordinate than $A$), and the other line intersects the left branch of this hyperbola at the point $B$ and the right branch — at the point $D$. The product of the projections of the segments $AC$ and $BD$ to the $x$-axis equals $m$.
Find the area of the (non-convex) quadrilateral $ABCD$. (Igor Voronovich)
Find the area of the (non-convex) quadrilateral $ABCD$. (Igor Voronovich)