Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.6 - Proportions and Problem Solving with Rational Equations - Exercise Set: 16


$\frac{25}{6}$ meters

Work Step by Step

Step 1: Since the triangles are similar, their corresponding sides are in proportion. Step 2: This means that $\frac{12}{5}=\frac{10}{y}$. Step 3: Solving through cross multiplication: $12y=5\times10$. Step 4: $12y=50$ Step 5: $y=\frac{50}{12}=\frac{25}{6}$ meters. Check: Step 1: Equating the two proportions to see if they reduce to the same fraction: $\frac{12}{5}=\frac{10}{\frac{25}{6}}$ Step 2: Simplifying both sides, $\frac{12}{5}=\frac{10\times6}{25}$ Step 3: $\frac{12}{5}=\frac{60}{25}$ Step 4: $\frac{12}{5}=\frac{12}{5}$ Step 5: Therefore, the answer is accurate.
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