Certainly! Let's start with the equation for the perimeter of a rectangle:
[tex]\[ P = 2L + 2W \][/tex]
where \( P \) is the perimeter, \( L \) is the length, and \( W \) is the width. Our goal is to solve for \( W \). Here's a step-by-step process to isolate \( W \):
1. Start with the perimeter equation:
[tex]\[ P = 2L + 2W \][/tex]
2. Subtract \( 2L \) from both sides of the equation to start isolating \( W \):
[tex]\[ P - 2L = 2W \][/tex]
3. Now, divide both sides of the equation by 2 to solve for \( W \):
[tex]\[ W = \frac{P - 2L}{2} \][/tex]
So, the solution to the given equation is:
[tex]\[ W = \frac{P - 2L}{2} \][/tex]
Looking at the given options, we see that:
[tex]\[ W = \frac{P - 2L}{2} \][/tex]
matches our derived solution. This is the correct rearrangement of the equation to solve for [tex]\( W \)[/tex].