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 $ A  = a^{2} $
                                      
                                          $ a = \sqrt{A} $
                                      
                                          $ U = 4\cdot a $
                                      
                                          $ a = \frac{U}{4} $
                                      
                                          $ d = a\cdot \sqrt{2} $
                                      
                                          $ a = \frac{d}{\sqrt{2}} $
Geometrie-Viereck-Quadrat
 $A  = a^{2}$ 
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 $a = \sqrt{A}$ 
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 $U = 4\cdot a$ 
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 $a = \frac{U}{4}$ 
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 $d = a\cdot \sqrt{2}$ 
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 $a = \frac{d}{\sqrt{2}}$ 
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                Beispiel Nr: 05
            
        
           $\begin{array}{l} 
      \text{Gegeben:}\\\text{Diagonale} \qquad d \qquad [m] \\
      \\ \text{Gesucht:} \\\text{Seite} \qquad a \qquad [m] \\
     \\ a = \frac{d}{\sqrt{2}}\\ \textbf{Gegeben:} \\ d=3\frac{2}{5}m \qquad \\ \\ \textbf{Rechnung:} \\
      a = \frac{d}{\sqrt{2}} \\
      d=3\frac{2}{5}m\\
      a = \frac{3\frac{2}{5}m}{\sqrt{2}}\\\\a=2,4m
    \\\\\\ \small \begin{array}{|l|} \hline d=\\  \hline 3\frac{2}{5} m  \\  \hline 34 dm  \\  \hline 340 cm  \\  \hline 3,4\cdot 10^{3} mm  \\  \hline 3,4\cdot 10^{6} \mu m  \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\  \hline 2,4 m  \\  \hline 24 dm  \\  \hline 240 cm  \\  \hline 2,4\cdot 10^{3} mm  \\  \hline 2,4\cdot 10^{6} \mu m  \\ \hline \end{array}  \end{array}$