Answer
$x=12$ m
Work Step by Step
$$A=\frac12 bh$$
$$108=\frac12 x(x+6)$$
$$216=x^2+6x$$
$$x^2+6x+9=216+9$$
$$(x+3)^2=225$$
$$x+3=\pm\sqrt{225}=\pm 15$$
$$x=\pm15-3$$
$$x_1=15-3=12$$
$$x_2=-15-3=-18$$
Take the positive value $x=12$ m.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
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 - 9.4 - Solving Quadratic Equations by Completing the Square - Exercises - Page 513: 57
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