text: Geometrie-Viereck-Drachen
  
  Beispiel Nr: 01
  $\text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\ \text{Diagonale e} \qquad e \qquad [m] \\ \\ \text{Gesucht:} \\\text{Diagonale f} \qquad f \qquad [m] \\ \\ f = \frac{2\cdot A}{ e}\\ \textbf{Gegeben:} \\ A=3m^{2} \qquad e=4m \qquad \\ \\ \textbf{Rechnung:} \\ f = \frac{2\cdot A}{ e} \\ A=3m^{2}\\ e=4m\\ f = \frac{2\cdot 3m^{2}}{ 4m}\\\\f=1\frac{1}{2}m \\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline 3 m^2 \\ \hline 300 dm^2 \\ \hline 3\cdot 10^{4} cm^2 \\ \hline 3\cdot 10^{6} mm^2 \\ \hline \frac{3}{100} a \\ \hline 0,0003 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline e=\\ \hline 4 m \\ \hline 40 dm \\ \hline 400 cm \\ \hline 4\cdot 10^{3} mm \\ \hline 4\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline f=\\ \hline 1\frac{1}{2} m \\ \hline 15 dm \\ \hline 150 cm \\ \hline 1,5\cdot 10^{3} mm \\ \hline 1,5\cdot 10^{6} \mu m \\ \hline \end{array}$
explanation: The document provides a worked example for calculating the diagonal \( f \) of a kite (Drachen) given the area \( A \) and the other diagonal \( e \). It includes the formula, given values, and the step-by-step calculation to find the answer. The document also includes unit conversions for the given values.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Geometrie-Viereck-Drachen
  
  Beispiel Nr: 01
  $\text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\ \text{Diagonale e} \qquad e \qquad [m] \\ \\ \text{Gesucht:} \\\text{Diagonale f} \qquad f \qquad [m] \\ \\ f = \frac{2\cdot A}{ e}\\ \textbf{Gegeben:} \\ A=3m^{2} \qquad e=4m \qquad \\ \\ \textbf{Rechnung:} \\ f = \frac{2\cdot A}{ e} \\ A=3m^{2}\\ e=4m\\ f = \frac{2\cdot 3m^{2}}{ 4m}\\\\f=1\frac{1}{2}m \\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline 3 m^2 \\ \hline 300 dm^2 \\ \hline 3\cdot 10^{4} cm^2 \\ \hline 3\cdot 10^{6} mm^2 \\ \hline \frac{3}{100} a \\ \hline 0,0003 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline e=\\ \hline 4 m \\ \hline 40 dm \\ \hline 400 cm \\ \hline 4\cdot 10^{3} mm \\ \hline 4\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline f=\\ \hline 1\frac{1}{2} m \\ \hline 15 dm \\ \hline 150 cm \\ \hline 1,5\cdot 10^{3} mm \\ \hline 1,5\cdot 10^{6} \mu m \\ \hline \end{array}$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides a worked example for calculating the diagonal \( f \) of a kite (Drachen) given the area \( A \) and the other diagonal \( e \). It includes the formula, given values, and the step-by-step calculation to find the answer. The document also includes unit conversions for the given values.
  
  Label: question-and-answer