Question

The formula for the area, a, of a regular polygon in terms of the perimeter of the polygon, p, and the length of the apothem, a, is: img2 upper a = one-half a p. a polygon with 5 sides has an apothem with measure a. what is the equivalent equation when solving for p? p = one-half upper a a p = startfraction 2 upper a over a endfraction p = 2 upper a a p = startfraction upper a over 2 a endfraction

Answer 1

The equivalent equation that can express the area of a polygon in terms of the perimeter is given by A = P/2

What is Polygon:

A closed, two-dimensional object composed of straight lines is called a polygon. Typically names of polygons are based on the polygon's number of sides Like triangles, rectangles, pentagons, etc.  

Apothem of a polygon:

a line segment connecting the midpoint of a side to the center of a regular polygon is known as the Apothem of a polygon.

The area of a polygon with Apothem is given by

         Area = 1/2 × perimeter × apothem

Here given that

Number of sides of Polygon = 5 sides

Let P be the perimeter

Given the length of the Apothem = a  

By the given formula,

Area of the Polygon, A = (1/2) [P][a]

=> A = P/2                      

Therefore,

The equivalent equation that can express the area of a polygon in terms of the perimeter is given by A = P/2

Learn more about Polygons at

brainly.com/question/24464711

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