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:

\[ h = \frac{2A}{b}. \]