Geometrie-Viereck-Rechteck



Beispiel Nr: 10
$ \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=\frac{5}{12}m^{2} \qquad a=-\frac{6}{19}m \qquad \\ \\ \textbf{Rechnung:} \\ b = \frac{A}{a} \\ A=\frac{5}{12}m^{2}\\ a=-\frac{6}{19}m\\ b = \frac{\frac{5}{12}m^{2}}{-\frac{6}{19}m}\\\\b=-1\frac{23}{72}m \\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline \frac{5}{12} m^2 \\ \hline 41\frac{2}{3} dm^2 \\ \hline 4166\frac{2}{3} cm^2 \\ \hline 416666\frac{2}{3} mm^2 \\ \hline 0,00417 a \\ \hline 4,17\cdot 10^{-5} ha \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline -\frac{6}{19} m \\ \hline -3\frac{3}{19} dm \\ \hline -31\frac{11}{19} cm \\ \hline -315\frac{15}{19} mm \\ \hline -315789\frac{9}{19} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline b=\\ \hline -1\frac{23}{72} m \\ \hline -13\frac{7}{36} dm \\ \hline -131\frac{17}{18} cm \\ \hline -1319\frac{4}{9} mm \\ \hline -1319444\frac{4}{9} \mu m \\ \hline \end{array}$