Respuesta :

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length + width)

From the diagram,

length = 2x - 2

width = x

Perimeter = 50

Thus,

50 = 2(2x - 2 + x)

Dividing both sides of the equation by 2, it becomes

50/2 = 2x + x - 2

25 = 3x - 2

3x = 25 + 2 = 27

x = 27/3

x = 9

The length of the shorter side is 9