Question 958940
{{{system(xy=1035,2x+2y=136)}}}


{{{system(xy=1035,x+y=68)}}}


{{{x(68-x)=1035}}}
{{{68x-x^2=1035}}}
{{{-68x+x^2=-1035}}}
{{{x^2-68x+1035=0}}}


Ignoring attempt to factorize, although the quadratic part IS factorable,
discriminant is {{{68^2-4*1035=484=22^2}}}


{{{x=(68+- 22)/2}}}
{{{x=34+- 11}}}
{{{highlight(x=23)}}}  or  {{{highlight(x=45)}}}



Dimensions are 23 and 45.