Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 3 - Adding and Subtracting Fractions - 3.4 Adding and Subtracting Mixed Numbers - 3.4 Exercises: 80

Answer

Estimate: $105$ feet Exact: $104\frac{5}{8}$ feet

Work Step by Step

We know that the perimeter is given by: $Perimeter=side_1+side_2+side_3+side_4$ Thus: $side_4=Perimeter-side_1-side_2-side_3$ We plug in the given values: $side_4=518\frac{3}{4}-108\frac{1}{4}-162\frac{3}{8}-143\frac{1}{2}$ First, we estimate by rounding: $side_4=519-108-162-144=105$ feet Next, we get the exact answer: $side_4=518\frac{3}{4}-108\frac{1}{4}-162\frac{3}{8}-143\frac{1}{2}$ $side_4=518\frac{6}{8}-108\frac{2}{8}-162\frac{3}{8}-143\frac{4}{8}$ $side_4=(518-108-162-143)+(\frac{6}{8}-\frac{2}{8}-\frac{3}{8}-\frac{4}{8})$ $side_4=(105)-\frac{3}{8}$ $side_4=104+\frac{8}{8}-\frac{3}{8}$ $side_4=104\frac{5}{8}$ feet
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.