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$ A = a\cdot b $
$ a = \frac{A}{b} $
$ b = \frac{A}{a} $
$ U = 2\cdot a + 2\cdot b $
$ a = \frac{U - 2\cdot b}{ 2} $
$ b = \frac{U - 2\cdot a}{ 2} $
$ d = \sqrt{a^{2} +b^{2} } $
$ b = \sqrt{d^{2} -a^{2} } $
$ a = \sqrt{d^{2} -b^{2} } $
Geometrie-Viereck-Rechteck
$A = a\cdot b$
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$a = \frac{A}{b}$
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$b = \frac{A}{a}$
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$U = 2\cdot a + 2\cdot b$
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$a = \frac{U - 2\cdot b}{ 2}$
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$b = \frac{U - 2\cdot a}{ 2}$
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$d = \sqrt{a^{2} +b^{2} }$
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$b = \sqrt{d^{2} -a^{2} }$
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$a = \sqrt{d^{2} -b^{2} }$
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Beispiel Nr: 11
$\begin{array}{l}
\text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\
\text{Länge} \qquad a \qquad [m] \\
\\ \text{Gesucht:} \\\text{Breite} \qquad b \qquad [m] \\
\\ b = \frac{A}{a}\\ \textbf{Gegeben:} \\ A=2\frac{2}{3}m^{2} \qquad a=1\frac{2}{15}m \qquad \\ \\ \textbf{Rechnung:} \\
b = \frac{A}{a} \\
A=2\frac{2}{3}m^{2}\\
a=1\frac{2}{15}m\\
b = \frac{2\frac{2}{3}m^{2}}{1\frac{2}{15}m}\\\\b=2\frac{6}{17}m
\\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline 2\frac{2}{3} m^2 \\ \hline 266\frac{2}{3} dm^2 \\ \hline 26666\frac{2}{3} cm^2 \\ \hline 2666666\frac{2}{3} mm^2 \\ \hline \frac{2}{75} a \\ \hline 0,000267 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 1\frac{2}{15} m \\ \hline 11\frac{1}{3} dm \\ \hline 113\frac{1}{3} cm \\ \hline 1133\frac{1}{3} mm \\ \hline 1133333\frac{1}{3} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline b=\\ \hline 2\frac{6}{17} m \\ \hline 23\frac{9}{17} dm \\ \hline 235\frac{5}{17} cm \\ \hline 2352\frac{16}{17} mm \\ \hline 2352941\frac{3}{17} \mu m \\ \hline \end{array} \end{array}$