ABCD is a rectangle $| \mathrm { AD } | = 1 \mathrm {~cm}$ $| \mathrm { AE } | = | \mathrm { EB } | = 2 \mathrm {~cm}$ $|FE| = \mathrm { x }$
According to the given information, what is x in cm?
A) $\frac { \sqrt { 3 } } { 2 }$
B) $\frac { \sqrt { 5 } } { 2 }$
C) $\frac { \sqrt { 3 } } { 3 }$
D) $\frac { \sqrt { 5 } } { 3 }$
E) $\frac { \sqrt { 7 } } { 3 }$
ABCD is a rectangle\\
$| \mathrm { AD } | = 1 \mathrm {~cm}$\\
$| \mathrm { AE } | = | \mathrm { EB } | = 2 \mathrm {~cm}$\\
$|FE| = \mathrm { x }$

According to the given information, what is x in cm?\\
A) $\frac { \sqrt { 3 } } { 2 }$\\
B) $\frac { \sqrt { 5 } } { 2 }$\\
C) $\frac { \sqrt { 3 } } { 3 }$\\
D) $\frac { \sqrt { 5 } } { 3 }$\\
E) $\frac { \sqrt { 7 } } { 3 }$