To solve the equation [tex]\(A = l \cdot w\)[/tex] for [tex]\(l\)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
A = l \cdot w
\][/tex]
2. To isolate [tex]\(l\)[/tex], divide both sides of the equation by [tex]\(w\)[/tex]. This step involves dividing both the left-hand side and the right-hand side by [tex]\(w\)[/tex]:
[tex]\[
\frac{A}{w} = l
\][/tex]
3. Rearranging the equation gives:
[tex]\[
l = \frac{A}{w}
\][/tex]
Thus, the solution for [tex]\(l\)[/tex] in terms of [tex]\(A\)[/tex] and [tex]\(w\)[/tex] is:
[tex]\[
l = \frac{A}{w}
\][/tex]
Therefore, the correct choice is:
B. [tex]\(l = \frac{A}{w}\)[/tex]
