Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 9 - Quadratic Functions and Equations - 9-5 Completing the Square - Practice and Problem-Solving Exercises - Page 581: 54


The width of the ribbon in inches is $1.5$.

Work Step by Step

We have the formula for the area of the ribbon: $A=lw$ Plug in values: $24=(2x+13)x$ $2x^2+13x=24$ $2x^2+13x-24=0$ $(2x-3)(x+8)=0$ $(2x-3)=0$ or $x+8=0$ $x=\frac{3}{2}$ or $x=-8$ The width cannot be negative. Therefore, the width of the ribbon in inches is $1.5$.
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