College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.5 - Applications and Modeling with Quadratic Equations - 1.5 Exercises - Page 119: 19

Answer

The width of the rectangle is 100 yards; the length is 400 yards.

Work Step by Step

$$x(2x+200)=40000$$ $$2x^2+200x=40000$$ $$2x^2+200x-40000=0$$ $$x^2+100x-20000=0$$ $$(x+200)(x-100)=0$$ $$x=-200,100$$ Length cannot be negative; x=100 The width of the rectangle is 100 yards; the length is 400 yards.
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