College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.5 - Page 163: 140


$6.7$ miles long

Work Step by Step

The Pythagorean theorem is $a^2+b^2=c^2$ to solve for the hypotenuse. We are given that the rectangular park is 6 miles long and 3 miles wide, so we plug in those values to the formula. $6^2+3^2=c^2$ $36+9=c^2$ $45=c^2$ $c=\sqrt {45}$ $c=3\sqrt 5$ $c\approx6.7$
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