Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.5 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 296: 86

Answer

$[x(x+40)] \text{ square inches}$

Work Step by Step

The amount of material needed to construct the bottom of the box is $x^2.$ The amount of material needed to construct one side of the box is $10x.$ With $4$ sides in a box, then the total amount of material to construct all the sides of the box is $40x.$ Adding the bottom and side parts of the box, the total amount of material to construct the box is \begin{array}{l}\require{cancel} x^2+40x \\= x(x+40) .\end{array} Hence, the amount of material to construct the box is $ [x(x+40)] \text{ square inches} .$
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