What’s the formula for finding the sides of a rectangle given Area and Perimeter

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I have been trying to figure this out for some time now and I managed to find some videos on google of them solving the problem with certain values, but I need to write down a concise formula with variables, thanks in advance to anyone who can help me:D

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Let $m$ and $n$ be the sides of a rectangle with area $A$ and perimeter $P$. Then $$A=mn\\ \dfrac P2=m+n$$ Then the quadratic equation having $m$ and $n$ as its roots is $$x^2-\dfrac P2x+A=0$$ Apply quadratic formula.