Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.4 - Real Zeros of Polynomials - 3.4 Exercises - Page 285: 100

Answer

$35ft\times57ft$

Work Step by Step

Using Pythagorean Theorem, the other side length is given by $\sqrt {(x+10)^2+x^2}$ and the know area is $x\sqrt {(x+10)^2+x^2}=5000$ $2x^2+20x+100=\frac{25000000}{x^2}$ $2x^4+20x^3+100x^2-25000000=0$ Solving the equation numerically gives $x\approx57ft$ and the other side can be calculated as $35ft$
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