To solve for $b$ from the given equation:

$A = \frac{1}{2} b h$

Let's solve step by step:

1. Start with the original equation: $A = \frac{1}{2} b h$

2. Multiply both sides of the equation by 2 to eliminate the fraction: $2A = b h$

3. Now, divide both sides of the equation by $h$ to solve for $b$: $b = \frac{2A}{h}$

So, the correct answer is:

$b = \frac{2A}{h}$

This matches the second option in your list. Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:

1. How do you solve for $h$ in the same equation?
2. What is the significance of this formula in geometry?
3. Can you derive the formula for $A$ in terms of $b$ and $h$?
4. How would this equation change if the area was for a different geometric shape?
5. Can you graph the relationship between $A$, $b$, and $h$?

Tip: Always clear fractions by multiplying both sides of the equation to make the algebraic manipulation easier.