Hi,

     .

Lw = 112cm^2

L = (w+6)

........

(w+6)w = 112

w^2 + 6w -112 = 0  (Tossing out the negative solution for unit measure)

(w + 14)(w - 8) = 0

w = 8cm  and L = 14cm 

And..checking

 

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