-
<<
>>
G
B
I
$ A = a\cdot b $
$ a = \frac{A}{b} $
$ b = \frac{A}{a} $
$ U = 2\cdot a + 2\cdot b $
$ a = \frac{U - 2\cdot b}{ 2} $
$ b = \frac{U - 2\cdot a}{ 2} $
$ d = \sqrt{a^{2} +b^{2} } $
$ b = \sqrt{d^{2} -a^{2} } $
$ a = \sqrt{d^{2} -b^{2} } $
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
$\begin{array}{l}
\text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\
\text{Länge} \qquad a \qquad [m] \\
\\ \text{Gesucht:} \\\text{Breite} \qquad b \qquad [m] \\
\\ b = \frac{A}{a}\\ \textbf{Gegeben:} \\ A=8m^{2} \qquad a=18m \qquad \\ \\ \textbf{Rechnung:} \\
b = \frac{A}{a} \\
A=8m^{2}\\
a=18m\\
b = \frac{8m^{2}}{18m}\\\\b=\frac{4}{9}m
\\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline 8 m^2 \\ \hline 800 dm^2 \\ \hline 8\cdot 10^{4} cm^2 \\ \hline 8\cdot 10^{6} mm^2 \\ \hline \frac{2}{25} a \\ \hline 0,0008 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 18 m \\ \hline 180 dm \\ \hline 1,8\cdot 10^{3} cm \\ \hline 1,8\cdot 10^{4} mm \\ \hline 1,8\cdot 10^{7} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline b=\\ \hline \frac{4}{9} m \\ \hline 4\frac{4}{9} dm \\ \hline 44\frac{4}{9} cm \\ \hline 444\frac{4}{9} mm \\ \hline 444444\frac{4}{9} \mu m \\ \hline \end{array} \end{array}$