Question

Solve A = 1/2bh for b

Answer 1

Answer:

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

Step-by-step explanation:

Solving an equation

To solve en equation for a given variable, the general method is to isolate the variable by performing inverse operations.

Let's focus on the equation:

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

First, let's flip both sides of the equation:

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

Multiply both sides by 2 since it's dividing the required variable:

$\displaystyle \not 2\cdot \frac{1}{\not 2}bh=2*A$

Simplifying

$bh=2A$

Dividing by h:

$\displaystyle \frac{b\not h}{\not h}=\frac{2A}{h}$

Simplifying:

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