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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
$\begin{array}{l}
\text{Gegeben:}\\\text{Diagonale} \qquad d \qquad [m] \\
\\ \text{Gesucht:} \\\text{Seite} \qquad a \qquad [m] \\
\\ a = \frac{d}{\sqrt{2}}\\ \textbf{Gegeben:} \\ d=1\frac{1}{6}m \qquad \\ \\ \textbf{Rechnung:} \\
a = \frac{d}{\sqrt{2}} \\
d=1\frac{1}{6}m\\
a = \frac{1\frac{1}{6}m}{\sqrt{2}}\\\\a=0,825m
\\\\\\ \small \begin{array}{|l|} \hline d=\\ \hline 1\frac{1}{6} m \\ \hline 11\frac{2}{3} dm \\ \hline 116\frac{2}{3} cm \\ \hline 1166\frac{2}{3} mm \\ \hline 1166666\frac{2}{3} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 0,825 m \\ \hline 8,25 dm \\ \hline 82,5 cm \\ \hline 825 mm \\ \hline 8,25\cdot 10^{5} \mu m \\ \hline \end{array} \end{array}$