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
$\begin{array}{l} \text{Gegeben:}\\\text{Breite} \qquad b \qquad [m] \\ \text{Länge} \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Diagonale} \qquad d \qquad [m] \\ \\ d = \sqrt{a^{2} +b^{2} }\\ \textbf{Gegeben:} \\ b=120m \qquad a=80m \qquad \\ \\ \textbf{Rechnung:} \\ d = \sqrt{a^{2} +b^{2} } \\ b=120m\\ a=80m\\ d = \sqrt{(80m)^{2} +(120m)^{2} }\\\\d=144m \\\\\\ \small \begin{array}{|l|} \hline b=\\ \hline 120 m \\ \hline 1,2\cdot 10^{3} dm \\ \hline 1,2\cdot 10^{4} cm \\ \hline 1,2\cdot 10^{5} mm \\ \hline 1,2\cdot 10^{8} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 80 m \\ \hline 800 dm \\ \hline 8\cdot 10^{3} cm \\ \hline 8\cdot 10^{4} mm \\ \hline 8\cdot 10^{7} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline d=\\ \hline 144 m \\ \hline 1,44\cdot 10^{3} dm \\ \hline 1,44\cdot 10^{4} cm \\ \hline 1,44\cdot 10^{5} mm \\ \hline 1,44\cdot 10^{8} \mu m \\ \hline \end{array} \end{array}$