Question 24
In triangle $ABC,$ point $D$ divides side $\overline{AC}$ so that $AD : DC = 1 : 2.$ Let $E$ be the midpoint of $\overline{BD}$ and let $F$ be the point of intersection of line $BC$ and line $AE.$ Given that the area of $\triangle ABC$ is $360,$ what is the area of $\triangle EBF?$
