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$ A = a^{2} $
$ a = \sqrt{A} $
$ U = 4\cdot a $
$ a = \frac{U}{4} $
$ d = a\cdot \sqrt{2} $
$ a = \frac{d}{\sqrt{2}} $
Geometrie-Viereck-Quadrat
$A = a^{2}$
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$a = \sqrt{A}$
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$U = 4\cdot a$
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$a = \frac{U}{4}$
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$d = a\cdot \sqrt{2}$
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$a = \frac{d}{\sqrt{2}}$
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Beispiel Nr: 03
$\begin{array}{l}
\text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\
\\ \text{Gesucht:} \\\text{Seite} \qquad a \qquad [m] \\
\\ a = \sqrt{A}\\ \textbf{Gegeben:} \\ A=121m^{2} \qquad \\ \\ \textbf{Rechnung:} \\
a = \sqrt{A} \\
A=121m^{2}\\
a = \sqrt{A}\\\\a=11m
\\\\\\ \small \begin{array}{|l|} \hline Aq=\\ \hline 121 m^2 \\ \hline 1,21\cdot 10^{4} dm^2 \\ \hline 1,21\cdot 10^{6} cm^2 \\ \hline 1,21\cdot 10^{8} mm^2 \\ \hline 1\frac{21}{100} a \\ \hline 0,0121 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 11 m \\ \hline 110 dm \\ \hline 1,1\cdot 10^{3} cm \\ \hline 1,1\cdot 10^{4} mm \\ \hline 1,1\cdot 10^{7} \mu m \\ \hline \end{array} \end{array}$