Answer
20.8
Work Step by Step
First, we use the Pythagroean theorem to find:
$4^2 = 2^2 + (\frac{x^2}{2^2}) \\ x^2 = 48$
We use the formula for area:
$A = \frac{\sqrt3}{4}\times x^2\\A = \frac{\sqrt3}{4}\times 48 \\A= 20.8$
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Cengage
ISBN 10:
978-1-337-61408-5
ISBN 13:
978-1-33761-408-5
Chapter 8 - Section 8.3 - Regular Polygons and Area - Exercises - Page 376: 4b
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