$ABC$ right triangle\
$[ \mathrm { AC } ] \perp [ \mathrm { BC } ]$\
$[AB]$ // $[DE]$\
$[BC]$ // $[FH]$\
$| \mathrm { AD } | = | \mathrm { DH } | = | \mathrm { HC } |$\
$| \mathrm { GE } | = 4$ units\
$| \mathrm { GF } | = 2$ units
Accordingly, what is the area of triangle ABC in square units?\
A) $9 \sqrt { 3 }$\
B) $12 \sqrt { 3 }$\
C) $15 \sqrt { 3 }$\
D) $18 \sqrt { 3 }$\
E) $20 \sqrt { 3 }$