Certainly! Let's carefully define the relationship between the length and width of the rectangle.
Given:
- The length of the rectangle is 8 meters less than three times the width of the rectangle.
Step by step, we can form an algebraic expression for the length in terms of the width [tex]\(W\)[/tex]:
1. Express three times the width:
First, take the width, which is denoted by [tex]\(W\)[/tex]. Three times the width would be represented as [tex]\(3W\)[/tex].
2. Subtract 8 meters:
We need to subtract 8 meters from three times the width. This can be written as:
[tex]\[
3W - 8
\][/tex]
Therefore, the algebraic expression for the length [tex]\(L\)[/tex] of the rectangle in terms of the width [tex]\(W\)[/tex] is:
[tex]\[
L = 3W - 8
\][/tex]
This algebraic expression captures the given relationship that the length is 8 meters less than three times the width.
