AMC8 2019 Problem 24

In triangle ABC, point D divides side \overline{AC} such 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 \triangle{EBF}?

2019_que_24

Answer Choices
A. 24
B. 30
C. 32
D. 36
E. 40