what we know:
Area: 119 sq inches
Length (l) = 2w + 3
Area: l • w
119 = l x w
119 = (2w + 3) x w /// I plugged in l as (2w+3)
119 = 2w^2 + 3w
0 = 2w^2 + 3w - 119
a = 2
b = 3
c = -119
Use the quadratic formula
w = -b+/-√(b^2 - 4ac)
—————————
2(a)
(Sorry if this equation looks weird you can find it on the internet by searching quadratic formula)
w = -3 +/- √(9 - 4(2)(-119)
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(2)2
w = -3 +/- √(9 + 952)
——————————-
4
w = -3 +/- √(961)
——————
4
w = -3 +/- 31
—————
4
(It cannot be -31 since there is no negative measurement so it is +31)
w = -3 + 31
————
4
w = 28
—
4
w = 7 units
l = w + 3
l = 10 units