College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.2 - Quadratic Equations - 1.2 Assess Your Understanding - Page 103: 105

Answer

The width of the concrete boarder $=2.71$ feet

Work Step by Step

We know the area of the concrete is equal the following equation $\pi*(5+x)^2-\pi*5^2=A$ Volume is just area times the height and height = 3 inches=.25 feet so $27=.25*(\pi*(5+x)^2-\pi*5^2)$ $27=.25\pi*((x^2+10x+25)-25)$ $27=.25\pi*(x^2+10x)$ Letting $\pi$=3.14 $x^2+10x=34.377$ Solve using the quadratic formula to find $x=2.71$ feet.
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