C.18 Rearrange multi-variable equations

Question

WSJ
Solve for h in terms of A and b.
A=
1
2
bh
h=

Answer 1

To solve for $h$ in terms of $A$ and $b$ from the equation

$$A=\frac{1}{2}bh,$$

follow these steps:

1. Start with the equation: $$A=\frac{1}{2}bh.$$

2. To eliminate the fraction, multiply both sides by 2: $$2A=bh.$$

3. Now, isolate $h$ by dividing both sides by $b$: $$h=\frac{2A}{b}.$$

So the equation rearranged for $h$ in terms of $A$ and $b$ is:

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