Question 835808
1.{{{D^2=L^2+W^2=25^2}}}
{{{P=2*L+2*W=62}}}
2.{{{L+W=31}}}
From eq. 2,
{{{L=31-W}}}
Substitute into eq. 1,
{{{(31-W)^2+W^2=625}}}
{{{961-62w+W^2+W^2=625}}}
{{{2W^2-62W+336=0}}}
{{{W^2-31W+168=0}}}
{{{(W-24)(W-7)=0}}}
Two solutions:
{{{W-24=0}}}
{{{W=24}}}
Then from eq. 2,
{{{L+24=31}}}
{{{L=7}}}
and
{{{W-7=0}}}
{{{W=7}}}
then {{{L=24}}}