Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Section 1.2 - Formulas and Percent - 1.2 Exercises - Page 61: 8

Answer

a) $W=\dfrac{A}{L}$ b) $L=\dfrac{A}{W}$

Work Step by Step

a) Using the properties of equality, in terms of $ W ,$ the given formula, $ A=LW ,$ is equivalent to \begin{array}{l}\require{cancel} \dfrac{A}{L}=\dfrac{LW}{L} \\\\ \dfrac{A}{L}=W \\\\ W=\dfrac{A}{L} .\end{array} b) Using the properties of equality, in terms of $ L ,$ the given formula, $ A=LW ,$ is equivalent to \begin{array}{l}\require{cancel} \dfrac{A}{W}=\dfrac{LW}{W} \\\\ \dfrac{A}{W}=L \\\\ L=\dfrac{A}{W} .\end{array}
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