Answer
The width of the parking lot is $12 $ yards, and the length is $15 $ yards.
Work Step by Step
With $ w $ being the width of the parking lot, its length is $ w+3$
Area = (width)$\times $(length)
$180=w(w+3)$
$180=w^{2}+3w $
$0=w^{2}+3w-180$
Factor the RHS by finding factors of $-180$ with sum $+3$. We find $+15$ and $-12$
$0=(w+15)(w-12)$
$ w=-15$ is discarded as a negative width, which makes no sense.
$ w=12$ (yards) is the width.
The width of the parking lot is $12 $ yards, and the length is $15 $ yards.