Answer
$|x-24|=8$
Work Step by Step
We consider the minimum and maximum lengths as solutions to an absolute value equation. The halfway point between minimum and maximum lengths is $\frac{16+32}{2}=24$. The distance to each solution is $8$. The absolute value equation is
$|x-\text{halfway point}|=\text{distance from halfway point}$
$\implies |x-24|=8$
