Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 4 - Section 4.2 - The Parallelogram and Kite - Exercises - Page 186: 35

Answer

$P = 34$

Work Step by Step

We can find the value of $x$: $AB = AD$ $\frac{x}{6} + 5 = \frac{x}{3} + 3$ $x + 30 = 2x + 18$ $x = 12$ We can find the length of each side: $AB = \frac{x}{6} + 5 = \frac{12}{6} + 5 = 7$ $BC = x-2 = 12-2 = 10$ $CD = BC = 10$ $DA = AB = 7$ We can find the perimeter: $P = AB+BC+CD+DA$ $P = 7+10+10+7$ $P = 34$
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