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: 54

Answer

x = 4.4' y = 5.6'

Work Step by Step

Since the two boats have the same shape - or they are similar to each other, then their corresponding sides will be in proportion. Thus, $\frac{11}{x}$ = $\frac{5}{2}$ = $\frac{14}{y}$ $\frac{11}{x}$ = $\frac{5}{2}$ Cross multiplying, 11(2) = 5x x = $\frac{22}{5}$ =4.4 $\frac{5}{2}$ = $\frac{14}{y}$ Cross multiplying, 5y = 14(2) y = $\frac{28}{5}$ = 5.6
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