Hi, . L = 3w-4 A = Lw (3w-4)w = 55 yd^2 3w^2 - 4w - 55 = 0 (tossing out negative solution for unit measure) (3w+11)(w-5) = 0 w = 5 yd and L = 11yd And...checking (11yd)(5yd) = 55yd^2