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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: 12
$\begin{array}{l}
\text{Gegeben:}\\\text{Seite} \qquad a \qquad [m] \\
\\ \text{Gesucht:} \\\text{Fläche} \qquad A \qquad [m^{2}] \\
\\ A = a^{2}\\ \textbf{Gegeben:} \\ a=8m \qquad \\ \\ \textbf{Rechnung:} \\
A = a^{2} \\
a=8m\\
A = (8m)^{2}\\\\A_{q}=64m^{2}
\\\\\\ \small \begin{array}{|l|} \hline a=\\ \hline 8 m \\ \hline 80 dm \\ \hline 800 cm \\ \hline 8\cdot 10^{3} mm \\ \hline 8\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline Aq=\\ \hline 64 m^2 \\ \hline 6,4\cdot 10^{3} dm^2 \\ \hline 6,4\cdot 10^{5} cm^2 \\ \hline 6,4\cdot 10^{7} mm^2 \\ \hline \frac{16}{25} a \\ \hline 0,0064 ha \\ \hline \end{array} \end{array}$