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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: 09
$\begin{array}{l}
\text{Gegeben:}\\\text{Umfang} \qquad U \qquad [m] \\
\\ \text{Gesucht:} \\\text{Seite} \qquad a \qquad [m] \\
\\ a = \frac{U}{4}\\ \textbf{Gegeben:} \\ U=1\frac{5}{7}m \qquad \\ \\ \textbf{Rechnung:} \\
a = \frac{U}{4} \\
U=1\frac{5}{7}m\\
a = \frac{1\frac{5}{7}m}{4}\\\\a=\frac{3}{7}m
\\\\\\ \small \begin{array}{|l|} \hline U=\\ \hline 1\frac{5}{7} m \\ \hline 17\frac{1}{7} dm \\ \hline 171\frac{3}{7} cm \\ \hline 1714\frac{2}{7} mm \\ \hline 1714285\frac{5}{7} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline \frac{3}{7} m \\ \hline 4\frac{2}{7} dm \\ \hline 42\frac{6}{7} cm \\ \hline 428\frac{4}{7} mm \\ \hline 428571\frac{3}{7} \mu m \\ \hline \end{array} \end{array}$