The students in Mrs. Dang’s class are working on determining dimensions of a rectangle using the perimeter. Mrs. Dang gives her students the formula for the perimeter of a rectangle.

P = 2l + 2w

If the students want to find the width, w, of the rectangle, what should be the first step when solving for w? Move the correct answers to the boxes.

To solve for the width (w) of a rectangle using the formula \( P = 2l + 2w \), here are the correct steps. I'll break them down and specify which step should come first:

### Step-by-Step Approach:

1. **First Step:**
   - **Isolate the terms involving w.**
   - Begin by subtracting \( 2l \) from both sides of the equation:
     \[
     P - 2l = 2w
     \]
   This isolates the term containing w on one side of the equation.

2. **Second Step:**
   - **Solve for w by dividing both sides by 2:**
     \[
     w = \frac{P - 2l}{2}
     \]
   This completes the process of solving for w.

### So the correct first step is: 
- **Subtract \( 2l \) from both sides.**

Would you like more details or do you have any other questions?

Here are 5 related questions:
1. How do you isolate a variable in an equation?
2. What other geometric shapes have similar perimeter formulas?
3. If the perimeter is given, how can you calculate the length, \( l \), after finding \( w \)?
4. Can the perimeter formula be used for non-rectangular shapes?
5. What happens if the perimeter formula involves unknown variables for both \( l \) and \( w \)?

**Tip:** When solving equations, always focus on isolating the variable of interest by undoing operations step-by-step.

Learn how to find the width (w) of a rectangle using the perimeter formula P = 2l + 2w. Step-by-step explanation includes isolating terms involving w and solving the equation. Suitable for students in Grades 4-6.

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