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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!

The perimeter of a rectangle is given by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Which formula can be used to solve for the width w?

Learn how to solve for the width of a rectangle using the perimeter formula P = 2l + 2w. This problem involves basic algebraic manipulation and is suitable for students in Grades 6-8.

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