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: 10
$\begin{array}{l} \text{Gegeben:}\\\text{Breite} \qquad b \qquad [m] \\ \text{Umfang} \qquad U \qquad [m] \\ \\ \text{Gesucht:} \\\text{Länge} \qquad a \qquad [m] \\ \\ a = \frac{U - 2\cdot b}{ 2}\\ \textbf{Gegeben:} \\ b=13m \qquad U=160m \qquad \\ \\ \textbf{Rechnung:} \\ a = \frac{U - 2\cdot b}{ 2} \\ b=13m\\ U=160m\\ a = \frac{160m - 2\cdot 13m}{ 2}\\\\a=67m \\\\\\ \small \begin{array}{|l|} \hline b=\\ \hline 13 m \\ \hline 130 dm \\ \hline 1,3\cdot 10^{3} cm \\ \hline 1,3\cdot 10^{4} mm \\ \hline 1,3\cdot 10^{7} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline U=\\ \hline 160 m \\ \hline 1,6\cdot 10^{3} dm \\ \hline 1,6\cdot 10^{4} cm \\ \hline 1,6\cdot 10^{5} mm \\ \hline 1,6\cdot 10^{8} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 67 m \\ \hline 670 dm \\ \hline 6,7\cdot 10^{3} cm \\ \hline 6,7\cdot 10^{4} mm \\ \hline 6,7\cdot 10^{7} \mu m \\ \hline \end{array} \end{array}$