Find the value of AB.

Step-by-step explanation:
Since all side lengths of smaller squares are equal, we have
[tex]3x+4=4x-1[/tex]
[tex]x=5[/tex]
Since length of AB is twice of the side length of smaller squares,
[tex]\bar{AB}=2(3x+4)=2(3\cdot5+4)=38[/tex]