Damien is designing a garden in the shape of a regular pentagon. To lay out the garden, Damien uses a piece of string 8 feet long to draw a circle using point C as the center. He locates the vertices of the regular pentagon at points D, E, F, G, and H as shown in the diagram to the right. To determine the amount of fertilizer he needs for the garden, Damien needs to know the area of pentagon DEFGH. What is the area of Damien’s garden? Round to 2 decimal places.   What is the area of the pentagon DEFGH?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 7E
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Damien is designing a garden in the shape of a regular pentagon. To lay out the garden, Damien uses a piece of string 8 feet long to draw a circle using point C as the center. He locates the vertices of the regular pentagon at points DEFG, and H as shown in the diagram to the right.

To determine the amount of fertilizer he needs for the garden, Damien needs to know the area of pentagon DEFGH.

What is the area of Damien’s garden? Round to 2 decimal places.   What is the area of the pentagon DEFGH? 

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