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.