To solve for \( b \) in the equation \( A = \frac{1}{2}bh \), follow these steps:

### Given Equation:
\[
A = \frac{1}{2}bh
\]

### Step 1: Eliminate the fraction
Multiply both sides of the equation by 2 to eliminate the fraction:
\[
2A = bh
\]

### Step 2: Solve for \( b \)
To isolate \( b \), divide both sides of the equation by \( h \):
\[
b = \frac{2A}{h}
\]

### Final Answer:
\[
b = \frac{2A}{h}
\]

This is the solution for \( b \) in terms of \( A \) and \( h \).

Would you like more details or have any questions?

Here are five related questions for further practice:
1. Solve for \( h \) in the equation \( A = \frac{1}{2}bh \).
2. If \( A = 30 \) and \( h = 5 \), find the value of \( b \).
3. Solve for \( b \) if \( A = 10 \) and \( h = 4 \).
4. If \( b = 8 \) and \( h = 3 \), what is the value of \( A \)?
5. How would the equation change if the formula were \( A = \frac{1}{3}bh \) instead?

**Tip:** Always perform operations on both sides of an equation to maintain equality when solving for a variable.

Learn how to solve for b in the equation A = \frac{1}{2}bh with a detailed step-by-step solution. This problem covers key geometric and algebraic concepts, including the area of a triangle formula. Suitable for students in Grades 7-9.

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