AMC 10B 2017 Problem 15

Rectangle A B C D has A B=3 and B C=4. Point E is the foot of the perpendicular from B to diagonal \overline{A C}. What is the area of \triangle A D E ?

Answer Choices
A. 1
B. \dfrac{42}{25}
C. \dfrac{28}{15}
D. 2
E. \dfrac{54}{25}