Question

Solve A = 1/2bh for b

Answer 1

`\displaystyle b=(2A)/(h)`

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=(1)/(2)bh`

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

`\displaystyle (1)/(2)bh=A`

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

`\displaystyle \\ot 2\cdot (1)/(\\ot 2)bh=2*A`

Simplifying

`bh=2A`

Dividing by h:

`\displaystyle (b\\ot h)/(\\ot h)=(2A)/(h)`

Simplifying:

`\boxed{\displaystyle b=(2A)/(h)}`