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!