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2017 AMC 10B Question 15

AMC10 · 2017 AMC 10B

Question 15

Rectangle $ABCD$ has $AB=3$ and $BC=4.$ Point $E$ is the foot of the perpendicular from $B$ to diagonal $\overline{AC}.$ What is the area of $\triangle ADE?$
  1. $ 1 $
  2. $ \dfrac{42}{25} $
  3. $ \dfrac{28}{15} $
  4. $ 2 $
  5. $ \dfrac{54}{25} $