# The formula for the area of a regular polygon is? What is the equation solved for a?

The area is the amount of space occupied by a 2-d shape and the area of any surface is always measured in the unit square.

## Answer: The formula for the area of a regular polygon is, A = (a × p)/2, and the equation solved for a is, a = (2 × A)/p, where a is the apothem and p is the perimeter of the regular polygon.

Let's see the solution step by step.

**Explanation:**

The formula for the area of a regular polygon is:

Area, A = (a × p) / 2

a = the apothem of a polygon (The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides)

p = the perimeter of a polygon

We use the above formula for deriving the formula for a,

A = (a × p) / 2

A × 2 = a × p

a = (2 × A)/p

### Thus, the formula for the area of a regular polygon is, A = (a × p)/2, and the equation solved for a is, a = (2 × A)/p, where a is the apothem and p is the perimeter of the regular polygon.

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