Chapter 8.3, Problem 12E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# If the area ( A = 1 2 a P ) and the perimeter of a regular polygon are numerically equal, find the length of the apothem of the regular polygon.

To determine

To find:

The length of apothem of the regular polygon.

Explanation

The area of a regular polygon with apothem a and perimeter P is given by A=12(aP).

Calculation:

It is given that area of the regular polygon is numerically equal to the perimeter.

Use the formula of area of regular polygon, A=12(aP)

Substitute A = P in A=12(

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