https://file.aiquickdraw.com/mathbot/file/1728507739493s4wrdrq7.jpg

The question asks to solve for \( b \) given the equation:

\[
A = \frac{1}{2} b h
\]

### Steps to solve for \( b \):

1. Start with the equation:
   \[
   A = \frac{1}{2} b h
   \]
2. Multiply both sides by 2 to eliminate the fraction:
   \[
   2A = b h
   \]
3. Finally, divide both sides by \( h \) to solve for \( b \):
   \[
   b = \frac{2A}{h}
   \]

So, the correct expression for \( b \) is \( \frac{2A}{h} \).

Looking at the provided options in the image, the correct answer corresponds to the third option:
\[
b = \frac{2A}{h}
\]

Would you like further details on this solution or have any other questions?

Here are 5 related questions to explore this concept further:
1. How would you solve for \( h \) instead of \( b \) in the same formula?
2. What kind of shape or geometric figure does this formula likely represent?
3. How would you apply this formula to find \( b \) if the area \( A \) and height \( h \) are given specific values?
4. Can this formula be rearranged to express \( A \) in terms of \( b \) and \( h \)?
5. How would you modify this formula if the area formula changes, for example, for a circle or a different geometric figure?

**Tip**: Always isolate the variable you want to solve for by performing inverse operations step by step.

Solve for b given the equation A = 1/2 * b * h.

Learn how to solve for b in the equation A = (1/2) * b * h by isolating the variable b. This problem involves algebraic manipulation and is suitable for students in Grades 6-8.

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