Respuesta :

Answer:

[tex]l=\frac{A-\frac{1}{2} \pi w^2}{2w}[/tex]

Step-by-step explanation:

We essentially need to solve for l; in other words, we must isolate it to one side.

First, notice that the term [tex]\frac{1}{2} \pi w^2[/tex] doesn't have any l terms in it, so we can just move this to the left side by subtracting both sides by [tex]\frac{1}{2} \pi w^2[/tex]:

A - [tex]\frac{1}{2} \pi w^2[/tex] = 2lw

Now, the right side has 2lw, so we must divide both sides by 2w to isolate l:

[tex]l=\frac{A-\frac{1}{2} \pi w^2}{2w}[/tex]

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