imc

Let the sides of the rectangular parking lot be $a$ and $b$. Then $a^2+b^2=625$ and $ab=168$. Add the two equations together, then factor. $$\begin{array}{rl}{a}^2+2ab+b^2& =625+168\times 2\\ (a+b{)}^2& =961\\ a+b& =31\end{array}$$ The perimeter of a rectangle is $2(a+b)=2(31)=\boxed{62}$