Usually they don't, unless you work in engineering.
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80 squares is a measure of area, it doesn't apply to length.
in all situations. in very few situations. only when encouraged to do so. in some situations but not in others.
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There are several things you can do to simplify expressions. Specifically for expressions with several terms, two things you can do is to combine similar terms (terms that have the same combination of variables), and then (usually after combining), see if you can apply one of the common methods of factoring, such as looking for common factors, looking for a perfect cube, factoring the difference of squares, the sum or difference of cubes, etc.
It really depends on the situation. You can apply different areas of mathematics in different situations. Actually it's sort of hard to imagine a situation in which you will NOT need to apply at least SOME mathematics, even if in many cases it's only simple things such as counting, comparing, adding, etc.