Question 934588
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Hi,
     *[illustration rectangle.png].
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 {{{3(5) - 4}}}
And...checking
(11yd)(5yd) = 55yd^2