Question 862654
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Hi
A = Lw
26cm^2 = (2w-9cm)w  | length = 9 cm less than twice its width
  2w^2 - 9w - 26 = 0
  (2w -13)(w + 2) = 0   (Tossing out the negative solution for unit measure)
     w = 13/2cm 0r 6.5cm  and L = 4cm    {{{2(13/2) - 9}}}
CHECKING our answer***
{{{6.5cm*4cm = 26cm^2}}}
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