Question 892090
w for width
L for length


{{{L=5w}}}, and {{{2w+2L<=104}}}.


The perimeter equation is simplifiable to {{{w+L<=52}}}.
Substitution for L gives {{{w+5w<=52}}}.


{{{6w<=52}}}
{{{w<=52/6}}}
{{{highlight(w<=26/3)}}}.  Note, the inclusive inequality is used because,
"at most", allows for the perimeter to be 104 meters.


You can take the rule given for L and say w=L/5, and now try this substituted in the
perimeter inequality:
{{{2(L/5)+2L<=104}}} or {{{L/5+L<=52}}} and solve for L.
{{{(6/5)L<=52}}}
{{{L<=52(5/6)}}}
{{{L<=26*5/3}}}
{{{highlight(L<=130/3)}}}


Convert to mixed numbers if you want.