## Introductory Algebra for College Students (7th Edition)

We see that the statement is false. To make the statement true, we change the statement so that $2$ is in the numerator and not the denominator: If $A = \frac{1}{2}bh$, then $b = \frac{2A}{h}$.
We want to solve for $b$ in this problem, so we need to isolate $b$. First, we divide each side by $\frac{1}{2}$, which means we multiply by its inverse, which is $2$: $$2A = bh$$ Now, we divide each side by $h$: $$b = \frac{2A}{h}$$ We see that the statement is false. To make the statement true, we change the statement so that $2$ is in the numerator and not the denominator: If $A = \frac{1}{2}bh$, then $b = \frac{2A}{h}$.