The given formula for the perimeter of a rectangle is:

$P = 2l + 2w$

Where:

• $P$ is the perimeter,
• $l$ is the length,
• $w$ is the width.

To solve for the width $w$, we need to isolate $w$ in the formula. Here's how to do it step by step:

1. Start with the formula: $P = 2l + 2w$

2. Subtract $2l$ from both sides to move the length term to the other side: $P - 2l = 2w$

3. Finally, divide both sides by 2 to solve for $w$: $w = \frac{P - 2l}{2}$

So, the formula to solve for the width $w$ is: $w = \frac{P - 2l}{2}$

Would you like further details or clarifications?

Here are 5 related questions:

1. How would the formula change if the perimeter of a square is considered instead of a rectangle?
2. Can this formula be used to find the length if the width is known?
3. What is the perimeter of a rectangle if $l = 5$ units and $w = 3$ units?
4. How does the formula for perimeter change when dealing with irregular polygons?
5. What are other important formulas related to the geometry of a rectangle?

Tip: Always check the units you're working with to ensure consistency when applying formulas!