Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 1 - Section 1.7 - Modeling with Equations - 1.7 Exercises - Page 76: 44

Answer

120ft by 126ft

Work Step by Step

Pythagorean theorem: $(x+6)^{2}$+$x^{2}$=$174^{2}$ $x^{2}$+12x+36+$x^{2}$=30,276 2$x^{2}$+12x-30,240=0 Quadratic formula: $12^{2}$-4$\times$2$\times$(-30,240)=242,064 x=$\frac{-12+or-\sqrt 242,064}{4}$ Dimensions can't be negative so the only answer is: x=120 x+6=126
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