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: 05
$\begin{array}{l} \text{Gegeben:}\\\text{Länge} \qquad b \qquad [m] \\ \text{Diagonale} \qquad d \qquad [m] \\ \\ \text{Gesucht:} \\\text{Breite} \qquad a \qquad [m] \\ \\ a = \sqrt{d^{2} -b^{2} }\\ \textbf{Gegeben:} \\ d=25m \qquad b=24m \qquad \\ \\ \textbf{Rechnung:} \\ a = \sqrt{d^{2} -b^{2} } \\ b=24m\\ d=25m\\ a = \sqrt{(25m)^{2} -(24m)^{2} }\\\\a=7m \\\\\\ \small \begin{array}{|l|} \hline d=\\ \hline 25 m \\ \hline 250 dm \\ \hline 2,5\cdot 10^{3} cm \\ \hline 2,5\cdot 10^{4} mm \\ \hline 2,5\cdot 10^{7} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline b=\\ \hline 24 m \\ \hline 240 dm \\ \hline 2,4\cdot 10^{3} cm \\ \hline 2,4\cdot 10^{4} mm \\ \hline 2,4\cdot 10^{7} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 7 m \\ \hline 70 dm \\ \hline 700 cm \\ \hline 7\cdot 10^{3} mm \\ \hline 7\cdot 10^{6} \mu m \\ \hline \end{array} \end{array}$