$ABC$ is a right triangle\
$\mathrm { AB } \perp \mathrm { AC }$\
$\mathrm { DE } \perp \mathrm { BC }$\
$| \mathrm { AD } | = | \mathrm { DB } | = 3$ units\
In triangle $ABC$, $D$ and $E$ lie on sides $AB$ and $BC$ respectively.\
If the area of triangle $ABC$ is 6 times the area of triangle $BDE$, what is $| AC |$ in units?\
A) $2 \sqrt { 3 }$\
B) $3 \sqrt { 2 }$\
C) $2 \sqrt { 6 }$\
D) 3\
E) 6