Beispiel Nr: 12
$ \text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\ \text{Diagonale e} \qquad e \qquad [m] \\ \\ \text{Gesucht:} \\\text{Diagonale f} \qquad f \qquad [m] \\ \\ f = \frac{2\cdot A}{ e}\\ \textbf{Gegeben:} \\ A=\frac{3}{5}m^{2} \qquad e=1m \qquad \\ \\ \textbf{Rechnung:} \\ f = \frac{2\cdot A}{ e} \\ A=\frac{3}{5}m^{2}\\ e=1m\\ f = \frac{2\cdot \frac{3}{5}m^{2}}{ 1m}\\\\f=1\frac{1}{5}m \\ \small \begin{array}{|l|} \hline A=\\ \hline 0,6 m^2 \\ \hline 60 dm^2 \\ \hline 6\cdot 10^{3} cm^2 \\ \hline 6\cdot 10^{5} mm^2 \\ \hline 0,006 a \\ \hline 6\cdot 10^{-5} ha \\ \hline 6\cdot 10^{-7} km^2 \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline e=\\ \hline 1 m \\ \hline 10 dm \\ \hline 100 cm \\ \hline 10^{3} mm \\ \hline 10^{6} \mu m \\ \hline 0,001 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline f=\\ \hline 1,2 m \\ \hline 12 dm \\ \hline 120 cm \\ \hline 1,2\cdot 10^{3} mm \\ \hline 1,2\cdot 10^{6} \mu m \\ \hline 0,0012 km \\ \hline \end{array}\\$