Question 928137
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Hi,
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L + w = 24m
L = w^2/2
.......
{{{w^2/2 + w = 24m}}} |Multiplying thru by 2 so as all denominators = 1
w^2 + 2w - 48 = 0
(w+8)(w-6) = 0  (tossing out negative solution for unit measure)
w = 6m  and L = 18m {{{6^2/2}}}
And...checking
L + w = 24m