a.) w=width
L=length
L=3w-2
b,) 65=(3w-2)(w)
c.) 3w²-2w-65=0 find the roots,
factor out the equation: (3w+13)(w-5)=0
getting the roots: 3w+13=0 w= -13÷3 = -4.3333333
w-5=0 w=5 (use transposition)
you obtained two values for the width w, but since there is no negative value for dimension, w=5, must be the correct answer.
d.) w=5 ft
since L=3w-2.. then L=3(5)-2 so L=13 ft.
to check: 65=(3w-2)(w)
65=(3(5)-2)(5)
65=(13×5)
65=65