Given:
Perimeter = 18 m
The formula for the perimeter of a rectangle is:
[tex]P=2l+2w[/tex]Where:
l = lenght
w = width
In this case, we have that:
l = 2w
Therefore, we substitute the values in the formula:
[tex]\begin{gathered} P=2l+2w \\ 18=2(2w)+2w \end{gathered}[/tex]And solve for w:
[tex]\begin{gathered} 18=4w+2w \\ 18=6w \\ \frac{18}{6}=\frac{6w}{6} \\ w=3 \end{gathered}[/tex]For the length:
[tex]l=2w=2(3)=6[/tex]Answer:
The width is 3 m
The length is 6 m
