Answer:
D.
![a=(2A)/(p)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1ppcj2unh5od0k3v6yogdvplw46wuqgeva.png)
Explanation:
We have been given that that the formula for the area of a regular polygon is
. We are asked to solve the given formula for a.
First of all, we will multiply both sides by 2.
![A* 2=(ap)/(2)* 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/72roc96zoylmhbgumpqwhkosa5qp4evd8k.png)
![2A=ap](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pwll0a49aaeji2osygnvmmtfyi8ajuk4uq.png)
Now we will divide both sides by p as:
![(2A)/(p)=(ap)/(p)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bu2o78mxlgg8ei0i1mrenbzpure1e318tj.png)
![(2A)/(p)=a](https://img.qammunity.org/2021/formulas/mathematics/middle-school/hth0uwamozkha8dwq0m4ohdq9rkt5zxqdp.png)
![a=(2A)/(p)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1ppcj2unh5od0k3v6yogdvplw46wuqgeva.png)
Therefore, option D is the correct choice.