Given two squares as shown; the area of square ABCD is equal to 2 times the area of square CEFG.
Accordingly, what is the ratio $\frac { | \mathrm { AF } | } { | \mathrm { AG } | }$?
A) $\frac { \sqrt { 5 } } { 2 }$
B) $\frac { 2 \sqrt { 2 } } { 3 }$
C) $\frac { \sqrt { 10 } } { 3 }$
D) $\frac { 2 \sqrt { 2 } } { 5 }$
E) $\frac { \sqrt { 10 } } { 5 }$