The equation you provided, \( 2l + 2w = p \), appears to represent the formula for the perimeter \( p \) of a rectangle, where \( l \) is the length and \( w \) is the width. 

To solve for any one variable, you need values for the others. For example:

1. Solving for \( l \) (length):
\[
2l + 2w = p \quad \Rightarrow \quad 2l = p - 2w \quad \Rightarrow \quad l = \frac{p - 2w}{2}
\]

2. Solving for \( w \) (width):
\[
2l + 2w = p \quad \Rightarrow \quad 2w = p - 2l \quad \Rightarrow \quad w = \frac{p - 2l}{2}
\]

If you provide values for either \( p \), \( l \), or \( w \), I can solve for the unknowns.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the perimeter if \( l = 5 \) and \( w = 3 \)?
2. Can you rearrange the formula for \( w \) if the perimeter is given as 24?
3. How would you express \( l \) if the perimeter is known to be 30?
4. How does the perimeter change if both \( l \) and \( w \) are doubled?
5. How can you graph the relationship between \( l \) and \( w \) for a constant perimeter?

**Tip:** Remember that in geometry, solving for one variable often requires isolating it on one side of the equation while performing inverse operations on the other side.

Learn how to solve the rectangle perimeter equation 2l + 2w = p. This guide breaks down key algebraic and geometric concepts, providing step-by-step solutions to find the length or width of a rectangle when the perimeter is known. Suitable for students in Grades 6-8.

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