Geometrie-Viereck-Rechteck

$A = a\cdot b$
1 2 3 4 5 6 7 8 9 10 11 12
$a = \frac{A}{b}$
1 2 3 4 5
$b = \frac{A}{a}$
1 2 3 4 5 6 7 8 9 10 11 12 13
$U = 2\cdot a + 2\cdot b$
1 2 3 4 5 6 7 8 9 10 11 12 13
$a = \frac{U - 2\cdot b}{ 2}$
1 2 3 4 5 6 7 8 9 10 11
$b = \frac{U - 2\cdot a}{ 2}$
1 2 3 4 5 6 7 8 9 10 11 12
$d = \sqrt{a^{2} +b^{2} }$
1 2 3 4 5 6 7 8 9 10 11 12
$b = \sqrt{d^{2} -a^{2} }$
1 2 3 4 5 6 7 8 9 10
$a = \sqrt{d^{2} -b^{2} }$
1 2 3 4 5 6 7 8 9 10
Beispiel Nr: 08
$\begin{array}{l} \text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\ \text{Länge} \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Breite} \qquad b \qquad [m] \\ \\ b = \frac{A}{a}\\ \textbf{Gegeben:} \\ A=8m^{2} \qquad a=18m \qquad \\ \\ \textbf{Rechnung:} \\ b = \frac{A}{a} \\ A=8m^{2}\\ a=18m\\ b = \frac{8m^{2}}{18m}\\\\b=\frac{4}{9}m \\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline 8 m^2 \\ \hline 800 dm^2 \\ \hline 8\cdot 10^{4} cm^2 \\ \hline 8\cdot 10^{6} mm^2 \\ \hline \frac{2}{25} a \\ \hline 0,0008 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 18 m \\ \hline 180 dm \\ \hline 1,8\cdot 10^{3} cm \\ \hline 1,8\cdot 10^{4} mm \\ \hline 1,8\cdot 10^{7} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline b=\\ \hline \frac{4}{9} m \\ \hline 4\frac{4}{9} dm \\ \hline 44\frac{4}{9} cm \\ \hline 444\frac{4}{9} mm \\ \hline 444444\frac{4}{9} \mu m \\ \hline \end{array} \end{array}$