The square ABCD given above is divided into four rectangles of equal area.
Accordingly, what is the ratio $\frac { | AE | } { | AD | }$?\ A) $\frac { 2 } { 3 }$\ B) $\frac { 3 } { 4 }$\ C) $\frac { 3 } { 5 }$\ D) $\frac { 5 } { 8 }$\ E) $\frac { 9 } { 16 }$
The square ABCD given above is divided into four rectangles of equal area.

Accordingly, what is the ratio $\frac { | AE | } { | AD | }$?\
A) $\frac { 2 } { 3 }$\
B) $\frac { 3 } { 4 }$\
C) $\frac { 3 } { 5 }$\
D) $\frac { 5 } { 8 }$\
E) $\frac { 9 } { 16 }$