   Chapter 8.3, Problem 22E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

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

Expand each expression in Exercises 122. (3x+1)2

Finite Mathematics and Applied Calculus (MindTap Course List)

Find the length of the curve. 40. r = sin3(/3), 0

Single Variable Calculus: Early Transcendentals

True or False: If f(x) 0 for x c and f(x) 0 for x c, then c is a point of inflection.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 