Question

1. a = lw for l

Explanation:

Step1: Identify the goal

We need to solve the formula \( A = lw \) for \( l \). This means we want to isolate \( l \) on one side of the equation.

Step2: Use inverse operations

To isolate \( l \), we can divide both sides of the equation by \( w \) (assuming \( w
eq 0 \)). Dividing both sides by \( w \) will cancel out the \( w \) that is multiplied by \( l \) on the right side.

So, we start with the original equation:
\[ A = lw \]

Then, we divide both sides by \( w \):
\[ \frac{A}{w} = \frac{lw}{w} \]

Simplifying the right side, the \( w \) in the numerator and denominator cancels out, leaving us with:
\[ \frac{A}{w} = l \]

We can also write this as:
\[ l = \frac{A}{w} \]

Answer:

\( l = \frac{A}{w} \)