ABC and BDE are equilateral triangles\
$[ \mathrm { BD } ] \perp [ \mathrm { AC } ]$\
$[ \mathrm { BF } ] \perp [ \mathrm { DE } ]$\
$[ \mathrm { FH } ] \perp [ \mathrm { BE } ]$\
$| \mathrm { AB } | = 16$ units
Accordingly, what is the area of triangle BFH in square units?\
A) $12 \sqrt { 3 }$\
B) $15 \sqrt { 3 }$\
C) $18 \sqrt { 3 }$\
D) $20 \sqrt { 3 }$\
E) $24 \sqrt { 3 }$