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2017 AMC 8 Question 16

AMC8 · 2017 AMC 8

Question 16

In the figure shown below, choose point $D$ on side $BC$ so that $\triangle ACD$ and $\triangle ABD$ have equal perimeters. What is the area of $\triangle ABD?$

Question illustration
  1. $ \dfrac{3}{4} $
  2. $ \dfrac{3}{2} $
  3. $ 2 $
  4. $ \dfrac{12}{5} $
  5. $ \dfrac{5}{2} $