Elementary Geometry for College Students (6th Edition)

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

Chapter 7 - Section 7.3 - More about Regular Polygons - Exercises - Page 333: 29



Work Step by Step

In order to do this problem, we first must find the additional lengths in each corner of the figure, and then we add the length of ST. We know the corners contain 45-45-90 triangles, so: $ l = 4 \times \frac{\sqrt2}{2} \\ l = 2 \sqrt{2}$ Since there are two sides like this, we find: $RU = 2(2\sqrt{2}) + 4 = $$4(1+\sqrt{2})$
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