In the figure below, choose point $D$ on $\overline{BC}$ so that $\Delta ACD$ and $\Delta ABD$ have equal perimeters. What is the area of $\Delta ABD$?

A. $\frac{3}{4}$

B. $\frac{3}{2}$

C. 2

D. $\frac{12}{5}$

E. $\frac{5}{2}$

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