You have that the perimeter of a rectangle is 28. In order to find the values of length and width of the rectangle, you take into account the following formula for the perimeter of a rectangle:
[tex]P=2w+2l[/tex]where w is the width and l is the length. You have that the length l is twice the width w of the rectangle, that is l=2w. By replacing this expression for l into theformula for the calculation of the perimeter you obtain:
[tex]P=2w+2(2w)=2w+4w=6w[/tex]Thus, you have that P = 6w. You solve this equation for w, and also replace the value of P, just as follow:
[tex]\begin{gathered} P=6w \\ w=\frac{P}{6}=\frac{28}{6}=\frac{14}{3}=4.66 \end{gathered}[/tex]Then, the width is 4.66. The length is:
[tex]l=2w=2(4.66)=9.33[/tex]length = 9.33
