Rearrange formulas to isolate a chosen quantity and interpret the result.
Use a square root and choose the meaningful branch
Problem
Solve \(A~=~s^{2}\) for the meaningful value of the side length \(s\).
Big Picture
What this problem is really about
Undoing a square produces two algebraic branches, so the algebra and the context both matter. We’ll take square roots to expose the positive and negative possibilities, then use the meaning of the variable as a physical side length. That nonnegative measurement condition removes the branch that cannot represent the geometry, and squaring the remaining expression verifies the rearrangement.
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