Question 934590
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Hi,
     *[illustration rectangle.png].
L = 2w-5
A = Lw
(2w-5)w = 52 m^2
2w^2 - 5w - 52 = 0  (tossing out negative solution for unit measure)
(2w-13)(w+4) = 0
w = 13/2m   and L = 8m {{{2(13/2) - 5}}}
And...checking
(13m/2)(8m) = 52m^2