# How do you solve for w in A = lw?

Nov 15, 2015

$w = \frac{A}{l}$

#### Explanation:

Given:

$A = l w$

To isolate w divide both sides by $l$ giving

$A \div i \mathrm{de} l = l w \div i \mathrm{de} l$

$\frac{A}{l} = \frac{l}{l} w$

But $\frac{l}{l} = 1 \text{ and } 1 \times w = w$

So we have

$\frac{A}{l} = w$

Normal practice would be to have what you are looking for (dependant variable) to be on the left

$w = \frac{A}{l}$