Question 842202
set L = length
 W = width
L = 2W -6
L*W = 504 2/3
L*W = 1514/3
substitute 2W -6 for L
(2W -6)(W) = 1514/3
2W^2 -6W = 1514/3
add - 1514/3 to each side
2W^2 -6W - 1514/3 = 0
multiply by 3
6W^2 -18W -1514 = 0
W = (1/6)*(9+sqrt(9165))
W = (1/6)*(9-sqrt(9165)) , but this number is negative so does not work.

L = {{{2((1/6)*(9+sqrt(9165))) - 6}}}