$(3$ marks$)$

$2.$ The city is planning to build a rectangular pathway around a rectangular pond.

We know that the pond has a length of $20$ ft and a width of $15$ ft $,$ but we do not know the width that we need for the pathway around the pond. We do know the pathway will have the same width all the way around the pond.

If the total rectangular area of the pathway and pond combined cannot be larger than $546f{t}^2$ because of other nearby construction developments, what is the maximum width of the pathway?

Expectations:

$$ Provide any original formulas that you use before any substitution