Let's analyze the given expression [tex]\( w(2w - 4) \)[/tex] which represents the area of a rectangle.
1. Understanding the components of the expression:
- Recall that the area of a rectangle is calculated as [tex]\( \text{Width} \times \text{Length} \)[/tex].
- Here, the expression for the area is given as [tex]\( w(2w - 4) \)[/tex].
2. Identifying the width:
- The variable [tex]\( w \)[/tex], which is the multiplier outside the parentheses, represents the width of the rectangle.
3. Finding the length:
- To find out what [tex]\( 2w - 4 \)[/tex] represents, we need to compare this expression with the standard area formula of a rectangle [tex]\( \text{Width} \times \text{Length} \)[/tex].
- Since [tex]\( w \)[/tex] is the width and the entire expression [tex]\( w(2w - 4) \)[/tex] represents the area, the term within the parentheses [tex]\( 2w - 4 \)[/tex] must represent the length of the rectangle.
Therefore, based on our analysis, the term [tex]\( 2w - 4 \)[/tex] represents the length of the rectangle.
