Answer:
The answer to your question is Width = [tex]\frac{x - 2}{x + 2}[/tex]
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 = [tex]\frac{x - 2}{x + 2}[/tex]
