Below is shown a structure made with two identical rectangular prisms with edge lengths of 2, 3, and 4 units. These prisms are placed adjacent to each other as shown in the figure.
According to this, what is the length of the line segment AB connecting vertices A and B in units?
A) $6 \sqrt { 2 }$
B) $8 \sqrt { 3 }$
C) $5 \sqrt { 5 }$
D) 7
E) 9
Below is shown a structure made with two identical rectangular prisms with edge lengths of 2, 3, and 4 units. These prisms are placed adjacent to each other as shown in the figure.

According to this, what is the length of the line segment AB connecting vertices A and B in units?\\
A) $6 \sqrt { 2 }$\\
B) $8 \sqrt { 3 }$\\
C) $5 \sqrt { 5 }$\\
D) 7\\
E) 9