Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 8 - Section 8.3 - Regular Polygons and Area - Exercises: 32

Answer

62.4

Work Step by Step

The problem asks to find area. Since each angle is 120 degrees in the hexagon, we find that the triangles formed in the diagram are 30-60-90 triangles. Thus, we can find height: $h = \frac{6}{\sqrt3} = 3.46$ This means that each side is: $ s = 2(3.46) = 6.92$ Thus, we find area: $ A=(6.92)(6) + 2(1/2)(6)(3.46) = 62.4$
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