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The given formula for the perimeter of a rectangle is:

\[
P = 2l + 2w
\]

You are asked to solve for \( w \) in terms of \( P \) and \( l \). Let's rearrange the formula step by step:

### Step 1: Start with the given equation:
\[
P = 2l + 2w
\]

### Step 2: Subtract \( 2l \) from both sides:
\[
P - 2l = 2w
\]

### Step 3: Divide both sides by 2 to isolate \( w \):
\[
w = \frac{P - 2l}{2}
\]

Thus, the formula for \( w \) in terms of \( P \) and \( l \) is:

\[
w = \frac{P - 2l}{2}
\]

This is the correct expression for \( w \). Let me know if you have any further questions or need clarifications!

### Relative Questions:
1. How is the perimeter of other shapes (like squares or triangles) derived?
2. Can the same process be used to solve for \( l \) instead of \( w \)?
3. How does changing \( l \) or \( w \) affect the perimeter \( P \)?
4. What are the units of perimeter, length, and width?
5. What happens to the formula if both \( l \) and \( w \) are the same?

### Tip:
When solving equations, isolating the variable of interest is key—just follow inverse operations step by step!

The formula for the perimeter of a rectangle is P = 2l + 2w. Solve the formula for w in terms of P and l.

Learn how to rearrange the perimeter formula of a rectangle, P = 2l + 2w, to solve for the width (w) in terms of perimeter (P) and length (l). Step-by-step explanation suitable for students in Grades 6-8.

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