We can write the perimeter as the sum of both sides, multiplied by two.
If one side is 11 in. and the other is x in., we can write the perimeter as:
[tex]P=2(11+x)[/tex]If the perimeter is 52 inches or more, then x can be calculated as:
[tex]\begin{gathered} P=2(11+x)\ge52 \\ 2(11+x)\ge52 \\ 11+x\ge\frac{52}{2} \\ 11+x\ge26 \\ x\ge26-11 \\ x\ge15 \end{gathered}[/tex]The value of x is 15 inches or more.