Question 935952
{{{P=2(l+w)=52}}}
{{{lw=96}}}


then

{{{l=96/w}}}
{{{l+w=26}}}

{{{96/w+w=26}}}


{{{w^2-26w+96=0}}}


with the solution:

{{{w=13 - sqrt(73)}}}

{{{l=13 + sqrt(73)}}}