The answer is C: [tex]h = \frac{2A}{b}[/tex]
Starting with the given formula for the area, A = 1/2hb, the first step is to isolate h by using the multiplicative inverse of b, which is [tex]\frac{1}{b}[/tex] on both sides of the equation:
[tex]A(\frac{1}{b}) = \frac{1}{2}hb* (\frac{1}{b})[/tex]
The result will be:
[tex]\frac{A}{b} = \frac{1}{2}h[/tex]
The last step is to use the multiplicative inverse of [tex]\frac{1}{2}[/tex], which is 2 or [tex]\frac{2}{1}[/tex] to further isolate the variable h :
[tex]\frac{A}{b} (\frac{2}{1}) = (\frac{2}{1}) \frac{1}{2} h[/tex]
The formula for h will be:
[tex]h = \frac{2A}{b}[/tex] which is the option C in your question.
