Answer: 7
<u>Step-by-step explanation:</u>
m∠ABC = 40°. Since BD is an angle bisector <em>(divides the angle into two congruent angles)</em>, then m∠ABD = 20° and m∠CBD = 20°
ABD = 20 and ABD = 3x - 1
⇒ 20 = 3x - 1
⇒ 21 = 3x
⇒ 7 = x
<u>Check: </u>
CBD = 20 and CBD = 34 - 2x
⇒ 20 = 34 - 2x
⇒ -14 = -2x
⇒ 7 = x
A = LW
A = 120
W = L - 2
120 = L(L-2)
120 = L^2 - 2L
L^2 - 2L - 120 = 0
(L - 12)(L + 10) = 0
L - 12 = 0
L = 12
L + 10 = 0
L = -10 (extraneous solution...will not work)
length (L) = 12 ft
width (W) = L - 2 = 12 - 2 = 10 ft
1. B 2.C 3.B 4.C 5.B 6.A 7.A 8.D 9.B 10.C