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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: 01
$\begin{array}{l}
\text{Gegeben:}\\\text{Umfang} \qquad U \qquad [m] \\
\\ \text{Gesucht:} \\\text{Seite} \qquad a \qquad [m] \\
\\ a = \frac{U}{4}\\ \textbf{Gegeben:} \\ U=9m \qquad \\ \\ \textbf{Rechnung:} \\
a = \frac{U}{4} \\
U=9m\\
a = \frac{9m}{4}\\\\a=2\frac{1}{4}m
\\\\\\ \small \begin{array}{|l|} \hline U=\\ \hline 9 m \\ \hline 90 dm \\ \hline 900 cm \\ \hline 9\cdot 10^{3} mm \\ \hline 9\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 2\frac{1}{4} m \\ \hline 22\frac{1}{2} dm \\ \hline 225 cm \\ \hline 2,25\cdot 10^{3} mm \\ \hline 2,25\cdot 10^{6} \mu m \\ \hline \end{array} \end{array}$