MathNet 2018-part-07 — 177 problems (EN–VI) Question 146

Ben "One Hunna Dolla" Franklin is flying a kite $KITE$ such that $IE$ is the perpendicular bisector of $KT$. Let $IE$ meet $KT$ at $R$. The midpoints of $KI$, $IT$, $TE$, $EK$ are $A$, $N$, $M$, $D$, respectively. Given that $[MAKE]=18$, $IT=10$, $[RAIN]=4$, find $[DIME]$.

Note: $[X]$ denotes the area of the figure $X$.