VTMO 2017 — Grade 8 — semifinal Question 5

Parallelogram $ABCD$ has area $144 \,\mathrm{cm}^{2} , M$ on $AB , E = DM \cap AC , F = CM \cap BD , O = AC \cap BD$. Hatched triangles $ADE$ and $BFC$ total $48 \,\mathrm{cm}^{2}$. Find quadrilateral $MFOE$’s area.