Area = 312 yds
length (l) = 2width + 2
Formula
Area = length x width
Substitution
312 = (2 width + 2) (width)
312 = 2width^2 + 2width
2width^2 + 2width - 312 = 0
width^2 + width - 156 = 0
Factor
( x + 13)(x - 12) = 0
x1 = -13 x2 = 12
width = 12 yds
length = 2(12) + 2
length = 24 + 2
length = 26
Results
length = 26 yds
width = 12 yds