Respuesta :

Answer:

Width = 20 ft

Explanation:

Let us call w the width and l the length of the rectangle, then we know that

[tex]2(w+l)=120[/tex]

in other words, the perimeter is 120 ft.

Furthermore, we also know that the length of the rectangle is twice the width

[tex]l=2w[/tex]

substituting this value into the first equation gives

[tex]2(w+2w)=120[/tex][tex]2(3w)=120[/tex][tex]6w=120[/tex]

Finally, dividing both sides by 6 gives

[tex]w=\frac{120}{6}[/tex][tex]w=20[/tex]

Hence, the width of the rectangle is 20 ft.