Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.8 - Substituting Data into Formulas - Exercises - Page 258: 18

Answer

$$ \frac{2S-nl}{n}, \ \ 31 .$$

Work Step by Step

To solve the given equation for $a$, we multiply both sides by $2$ and then we follow the following steps: $$ S=\frac{n}{2}(l+a) \Longrightarrow 2 S=n(l+a) \Longrightarrow 2 S=nl+na \\ \Longrightarrow 2S-nl=na\Longrightarrow a=\frac{2S-nl}{n}.$$ Now, we have $$ a=\frac{2S-nl}{n}=\frac{2\times 575- 25\times15 }{25}=31 .$$
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