Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 9 - Solving Quadratic Equations - 9.1-9.3 - Quiz - Page 504: 23

Answer

$w\approx4.36$ m $l\approx 17.44$ m

Work Step by Step

$$l=4w$$ $$h=5$$ $$V=lwh$$ $$380=4w(w)5$$ $$380=20w^2$$ $$w^2=19$$ $$w=\pm\sqrt{19}\approx 4.36$$ Take the positive value: $$w\approx 4.36\text{ m}$$ $$l=4w=4\sqrt{19}\approx 17.44\text{ m.}$$
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