Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 8 - Section 8.3 - Regular Polygons and Area - Exercises - Page 366: 4b

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: $A = \frac{\sqrt3}{4}\times x^2\\A = \frac{\sqrt3}{4}\times 48 \\A= 20.8$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.