Answer
$x+2$ and $x-24$
Work Step by Step
The area of a rectangle is
$\text{Area}=\text{Length}\cdot\text{Width}$
We factor the area:
$x^2-22x-48=x^2+2x-24x-48$
$=x(x+2)-24(x+2)$
$=(x+2)(x-24)$
The possible dimensions are $x+2$ and $x-24$.
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 9 - Quadratic Functions and Equations - 9-1 Quadratic Graphs and Their Properties - Practice and Problem-Solving Exercises - Page 552: 54
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