Question 930750
w for width, L for length;
L=23+w.
{{{288=wL}}}
{{{w(w+23)=288}}}
{{{w(w+23)-288=0}}}
{{{highlight(w^2+23w-288=0)}}}.


Trying to factor the trinomial quadratic;
2,144;
3,96;
4,72;
6,48;
8,36;
9,32.  Enough found.


{{{highlight((w-9)(w+32)=0)}}}.


The sensible solution for w is {{{w=9}}}.