Question

Solve the area formula for h

Answer 1

The answer is C: $h = \frac{2A}{b}$

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 $\frac{1}{b}$ on both sides of the equation:

$A(\frac{1}{b}) = \frac{1}{2}hb* (\frac{1}{b})$

The result will be:

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

The last step is to use the multiplicative inverse of $\frac{1}{2}$, which is 2 or $\frac{2}{1}$ to further isolate the variable h :

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

The formula for h will be:

$h = \frac{2A}{b}$  which is the option C in your question.