Elementary Technical Mathematics

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

Chapter 1 - Unit 1B Review: 13

Answer

$P=17\frac{5}{6} \text{ inches}$

Work Step by Step

The perimeter $P$ of a rectangle is given by the formula $P=2(L+W)$ where $L$=length and $W$= width. Use the formula above to obtain: $P=2(6\frac{1}{4}+2\frac{2}{3}) \\P=2(\frac{4(6)+1}{4}+\frac{3(2)+2}{3}) \\P=2(\frac{25}{4} + \frac{8}{3})$ Make the fractions similar using their LCD of $12$ to obtain: $\require{cancel} P=2\left(\frac{25(3)}{4(3)}+\frac{8(4)}{3(4)}\right) \\P=2\left(\frac{75}{12}+\frac{32}{12}\right) \\P=2\left(\frac{75+32}{12}\right) \\P=2(\frac{107}{12}) \\P=\cancel{2}(\frac{107}{\cancel{12}6}) \\P=\frac{107}{6} \\P=17\frac{5}{6} \text{ inches}$
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