Question

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?

Answer 1

Answer:

The answer to your question is  Width = $\frac{x - 2}{x + 2}$

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 = $\frac{x - 2}{x + 2}$