AMC 10A/12A 2026 (Problem 3/2)

Square ABCDABCD has side length 2424. Let EE be the midpoint of BC‾\overline{BC}, and let F‾\overline{F} be the intersection of AE‾\overline{AE} and BD‾\overline{BD}.
Square ABCD with E the midpoint of BC and F the intersection of AE and BD
What is the area of △BEF\triangle BEF?
(A)  36\text{(A)}\;36(B)  40\text{(B)}\;40(C)  45\text{(C)}\;45(D)  48\text{(D)}\;48(E)  52\text{(E)}\;52