Elementary Geometry for College Students (6th Edition)

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

Chapter 4 - Section 4.4 - The Trapezoid - Exercises - Page 202: 44

Answer

48

Work Step by Step

The length of one part of one of the missing sides is 6, for it forms a miniature rectangle where it is opposite the side of length 6. In addition, the other additional part missing has a length of: $l = \sqrt{17^2 - 8^2} = 15$. Now, we consider the other missing length of the other missing side: $l = \sqrt{8^2 + 6^2} =10$ $P = 17 + 10 + 6 + 15 = 48$
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