   Chapter 11.CT, Problem 20CT 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

Each apothem of regular pentagon ABCDE has length a. In terms of a, find an expression for the area A of pentagon ABCDE.

To determine

To find:

An expression to find the area of a regular pentagon ABCDE in terms of the apothem a.

Explanation

Given:

Each apothem of regular pentagon ABCDE has length a.

Theorem:

The area A of a regular polygon whose apothem has length a and whose perimeter is P is given by A=12aP.

In the diagram.

In the isosceles triangle OAF,

Let AB=2x m, OF=a.

In ∆AOF,  AOF= AOB2=722=36°

tan360=xa

x=a×tan360

x=0

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

In Exercises 47-52, find and simplify f(a+h)f(a)h (h 0) for each function. 49. f(x) = x3 x

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

In Exercises 7-12, solve for y in terms of x. 5y6x21=0

Calculus: An Applied Approach (MindTap Course List)

Solve the equations in Exercises 126. 2x3x2x3x+1=0

Finite Mathematics and Applied Calculus (MindTap Course List)

Solve the inequality. 49. |x 4| 1

Single Variable Calculus: Early Transcendentals

What is the partial fraction form of ?

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