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: 12

Answer

a) $h=\dfrac{2A}{b}$ b) $b=\dfrac{2A}{h}$

Work Step by Step

a) Using the properties of equality, in terms of $ h ,$ the given formula, $ A=\dfrac{1}{2}bh ,$ is equivalent to \begin{array}{l}\require{cancel} 2A=bh \\\\ \dfrac{2A}{b}=\dfrac{bh}{b} \\\\ h=\dfrac{2A}{b} .\end{array} b) Using the properties of equality, in terms of $ b ,$ the given formula, $ A=\dfrac{1}{2}bh ,$ is equivalent to \begin{array}{l}\require{cancel} 2A=bh \\\\ \dfrac{2A}{h}=\dfrac{bh}{h} \\\\ b=\dfrac{2A}{h} .\end{array}
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