Answer:
x= width
3x-2 = length
Area= x(3x-2)= 3x²-2x
3x²-2x=65
3x²-2x-65=0
b²-4ac= (-2)²-4(3*-65)= 4+260=784
Δ is strictly positive, the equation 3x²−2x−65=0
admits two solutions.
(-b-√Δ )/2a = (2-28)/6 = -13
(-b-√Δ)/2 =(2+28)/6=5
a length is never negative→x=5
dimensions:
width = 5ft
length = 5*3-2=13 feet