The area of a rectangle is x^2−4/2x in^2 and its length is (x+2)^2/2 in. What is the width in inches?

The answer to your question is  Width =

Step-by-step explanation:

Data

Area = (x² - 4)/2 x in²

Length = (x + 2)² / 2 in

Width = ?

Process

1.- Write the formula of the area of a rectangle

     Area = length x width

-Solve for width

     Width = Area / length

2.- Substitute the values

     Width = (x² - 4)/2 / (x + 2)² / 2

-Simplify

     Width = (x² - 4) / (x + 2)²

-Factor both numerator and denominator

      Width = (x - 2)(x + 2) / (x + 2)(x + 2)

- Simplify

      Width = (x - 2) /(x + 2)  or Width =

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)