VTMO 2019 — Grade 6 — final Question 5

Rectangle $ABCD$ has $E$ on $AB$ and collinear $C , M , N , E$ with $CM = MN = NE$. $DN$ meets $AB$ at $F$. Shaded $ENF$ and $DNM$ have combined area $12 \,\mathrm{cm}^{2}$. Find area $\left(ABCD\right)$.