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: 20

Answer

$$ \frac{2S-na}{n}, \ \ 4\frac{1}{4} .$$

Work Step by Step

To solve the given equation for $l$, we multiply both sides by $2$ and then we follow the following steps: $$ S=\frac{n}{2}(l+a) \Longrightarrow 2 S=n(l+a) \Longrightarrow 2 S=nl+na \\ \Longrightarrow 2S-na=nl\Longrightarrow l=\frac{2S-na}{n}.$$ Now, we have $$ l=\frac{2S-na}{n}=\frac{2\times 96.875- 15\times8.666}{15}=4.250=4\frac{1}{4} .$$
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