Respuesta :
Answer:
D. [tex]a=\frac{2A}{p}[/tex]
Step-by-step explanation:
We have been given that that the formula for the area of a regular polygon is [tex]A=\frac{ap}{2}[/tex]. We are asked to solve the given formula for a.
First of all, we will multiply both sides by 2.
[tex]A\times 2=\frac{ap}{2}\times 2[/tex]
[tex]2A=ap[/tex]
Now we will divide both sides by p as:
[tex]\frac{2A}{p}=\frac{ap}{p}[/tex]
[tex]\frac{2A}{p}=a[/tex]
[tex]a=\frac{2A}{p}[/tex]
Therefore, option D is the correct choice.