Express the area A of a square as a function of its perimeter P - Vidyadip

Question

Express the area $\mathrm{A}$ of a square as a function of its

perimeter $\mathrm{P}$

✓

Answer

perimeter $(P)=4 \mathrm{~s}$
$\therefore \mathrm{s}=\frac{\mathrm{P}}{4}$
Area $(\mathrm{A})=s^2=\left(\frac{\mathrm{P}}{4}\right)^2$
$\therefore \mathrm{A}=\frac{\mathrm{P}^2}{16}$

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