Question

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

Answer 1

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

$Perimeter=2(lenght+width)$

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

$Perimeter=2(7x)$

$Perimeter=14x$

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.

$Length=5x=5\times 10=50$

Therefore, the length of the rectangle is 50 ft.