Question 865133
Another of these numerous rectangle dimensions exercises.
L length
w width
{{{L=2w+1}}}
{{{wL=88}}}
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{{{w(2w+1)=88}}}
{{{2w^2+w-88=0}}}
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Is the trinomial factorable?  {{{1^2+8*88=discriminant=highlight(705)=3*235=3*5*47}}};
Not factorable.  Discriminant is non-repeated prime numbers.
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{{{highlight(w=(-1+sqrt(705))/4)}}}


Finding L, length, is left for you.  Just follow {{{L=2w+1}}}.