Question

What is the length of a rectangle whose perimeter is 140 ft if its width-to-length is 2 : 5

Answer 1

50 ft.

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

`Perimeter=2(lenght+width)`

`Perimeter=2(5x+2x)`

`Perimeter=2(7x)`

`Perimeter=14x`

It is given that the perimeter of the rectangle is 140 ft.

`14x=140`

Divide both sides by 14.

`x=10`

The value of x is 10.

`Length=5x=5* 10=50`

Therefore, the length of the rectangle is 50 ft.