Question

the formula for the area of a regular polygon is $a = \frac{1}{2}ap$. what is the equation solved for a?
○ $a = 2a$
○ $a = 2a - p$
○ $a = \frac{2p}{a}$
○ $a = \frac{2a}{p}$

Explanation:

Step1: Multiply both sides by 2

$$A=\frac{1}{2}ap$$
$$2A = ap$$

Step2: Divide both sides by \(p\)

$$\frac{2A}{p}=\frac{ap}{p}$$

Answer:

\(a = \frac{2A}{p}\) (the fourth option)