Answer:
50 ft.
Step-by-step explanation:
It is given that the ratio of width-to-length is 2 : 5.
Let,
Width = 2x ft
Length = 5x ft
Perimeter of the rectangle is
[tex]Perimeter=2(lenght+width)[/tex]
[tex]Perimeter=2(5x+2x)[/tex]
[tex]Perimeter=2(7x)[/tex]
[tex]Perimeter=14x[/tex]
It is given that the perimeter of the rectangle is 140 ft.
[tex]14x=140[/tex]
Divide both sides by 14.
[tex]x=10[/tex]
The value of x is 10.
[tex]Length=5x=5\times 10=50[/tex]
Therefore, the length of the rectangle is 50 ft.
