MathNet 2013 Question 93

Rectangle $BRIM$ has $BR = 16$ and $BM = 18$. The points $A$ and $H$ are located on $IM$ and $BM$, respectively, so that $MA = 6$ and $MH = 8$. If $T$ is the intersection of $BA$ and $IH$, find the area of quadrilateral $MATH$.