(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Currently, I'm expected to find the side length of a square garden whose area is 25cm^{2}. Of course, we're talking about a square here, and since the area of a rectangle is l * w, and, when talking about a square, l = w, the area of a square is S^{2}. Of course, I know each side length is going to be 5cm - that's rather obvious. Instead, I'm asking as to whether I should treat the actual measurement, "cm", as a variable.

(e.g.

25cm^2 = squareroot[25cm^2] * squareroot[25cm^2]

25cm^2 = squareroot[25] * squareroot[25] * squareroot[cm^2] * squareroot[cm^2]

25cm^2 = 5 * 5 * cm * cm

25cm^2 = 25*cm^2

25cm^2 = 25cm^2.)

Please pay attention to how I'm treating cm as a variable - is it mathematically correct to do this? That's my question.

If not, my question would be this:

How do you algebraically find the final unit of measurement in which your final answer will be presented, in this question, of course.

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# Unit analysis - using measurements as variables - correct (?)

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