Question

How do you solve $A=LW$ for $L$?

Answer 1

Solve the expression:

We have to solve $A=LW$ for $L$.

First, we need to isolate the variable $L$ on one side of the equation with the other terms on the other side.

$$\begin{gathered} A=LW \\ \Rightarrow \frac{A}{W}=\frac{LW}{W}\left[\mathrm{Dividing}\mathrm{both}\mathrm{sides}\mathrm{by}W\right] \\ \Rightarrow \frac{A}{W}=L·1 \\ \Rightarrow \frac{A}{W}=L \\ \therefore L=\frac{A}{W} \end{gathered}$$

Hence, the required expression is $L=\frac{A}{W}$.