   Chapter 8.3, Problem 22E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
5 views

# In Exercises 17 to 30, use the formula A = 1 2 a P to find the area of the regular polygon described.Find the area of a square whose apothem measures 5 cm.

To determine

To find:

The area of the square.

Explanation

1) The relation between the side and apothem of the square is given by, s = 2a where s is side and a is apothem,

2) The perimeter of a regular polygon is given by P = ns, where n is the number of sides and s is the length of any side.

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

Calculation:

It is given that the length of the apothem of the square is 5 cm.

The relation between the side and apothem of the square, s = 2a

Substitute a = 5 in s = 2a.

s=2(5)=10cm

The total number of sides in a square is 4.

Use the formula for the perimeter of regular polygon, i

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 