Question 5
In rectangle $ABCD$ with area $1$, point $M$ is selected on $\overline{AB}$ and points $X, Y$ are selected on $\overline{CD}$ such that $AX \lt AY$. Suppose that $AM = BM$. Given that the area of triangle $MXY$ is $\frac{1}{2014}$, compute the area of trapezoid $AXYB$.
Supplemental illustration; no additional hypothesis is imposed.
Supplemental illustration; no additional hypothesis is imposed.