# Question #47caf

Feb 2, 2017

See the entire solution process below:

#### Explanation:

First, multiple each side of the the equation by $\textcolor{red}{2}$ to eliminate the fraction:

$\textcolor{red}{2} \times A = \textcolor{red}{2} \times \frac{1}{2} b h$

$2 A = \cancel{\textcolor{red}{2}} \times \frac{1}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}} b h$

$2 A = 1 b h$

$2 A = b h$

Now, divide each side of the equation by $\textcolor{red}{b}$ to solve for $h$:

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

$\frac{2 A}{b} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{b}}} h}{\cancel{\textcolor{red}{b}}}$

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

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