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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: 11
$\begin{array}{l}
\text{Gegeben:}\\\text{Seite} \qquad a \qquad [m] \\
\\ \text{Gesucht:} \\\text{Fläche} \qquad A \qquad [m^{2}] \\
\\ A = a^{2}\\ \textbf{Gegeben:} \\ a=\frac{1}{2}m \qquad \\ \\ \textbf{Rechnung:} \\
A = a^{2} \\
a=\frac{1}{2}m\\
A = (\frac{1}{2}m)^{2}\\\\A_{q}=\frac{1}{4}m^{2}
\\\\\\ \small \begin{array}{|l|} \hline a=\\ \hline \frac{1}{2} m \\ \hline 5 dm \\ \hline 50 cm \\ \hline 500 mm \\ \hline 5\cdot 10^{5} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline Aq=\\ \hline \frac{1}{4} m^2 \\ \hline 25 dm^2 \\ \hline 2,5\cdot 10^{3} cm^2 \\ \hline 2,5\cdot 10^{5} mm^2 \\ \hline 0,0025 a \\ \hline 2,5\cdot 10^{-5} ha \\ \hline \end{array} \end{array}$