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



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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