AMC 10B 2024 (Problem 10)

Quadrilateral

ABCD

is a parallelogram, and

E

is the midpoint of the side

\overline{AD}

. Let

F

be the intersection of lines

EB

and

AC

. What is the ratio of the area of quadrilateral

CDEF

to the area of

\triangle CFB

\text{(A)}\;5:4

\text{(B)}\;4:3

\text{(C)}\;3:2

\text{(D)}\;5:3

\text{(E)}\;2:1