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: 141


$4.5$ miles long

Work Step by Step

The Pythagorean theorem is $a^2+b^2=c^2$ to solve for the hypotenuse of a right triangle. We are given that the rectangular park is 4 miles long and 2 miles wide, so we plug in those values to the formula. $4^2+2^2=c^2$ $16+4=c^2$ $20=c^2$ $c=\sqrt {20}$ $c=2\sqrt 5$ $c\approx4.5$
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