Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.8 - Modeling with Equations - Exercise Set - Page 124: 43

Answer

$21.9$ yards.

Work Step by Step

Step 1. Draw a diagram as shown in the figure, where $x$ is the width and $2x$ the length of the rectangle. Step 2. Using the Pythagorean's Theorem in the right triangle involving the diagonal, we have $(2x)^2+x^2=64^2$ or $5x^2=64^2$, which gives $x=\frac{64\sqrt 5}{5}\approx28.62$ yards. Step 3. Walking diagonally will save $3\times28.62-64\approx21.9$ yards.
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