the width of the flowerbed is w.
the total width is 2w+4
the total length is 2w + 8
the total area is (2w+4)(2w+8) = 165
4w^2 + 16w + 8w + 32 = 165
4w^2 + 24w + 32 = 165
4w^2 + 24w - 133 = 0
(2w - 7 )(2w + 19 ) = 0
2w + 19 = 0
w = -19/2 <-- negative measures; disqualified
2w-7 = 0
w = 7/2 = 3 and 1/2 = 3.5
Total width is 2*3.5 + 4 = 7+4 = 11
Total length is 2*3.5 + 8 = 7+8 = 15
area is 11*15 = 165
the width of the flowerbed is 3 and 1/2 = 3.5