Question 896644
m=5.
L for length, w for width.
p=unknown.
A=500


L=mw and  wL=A.
{{{w*(mw)=A}}}
{{{mw^2=A}}}
{{{w^2=A/m}}}
{{{w=sqrt(A/m)}}}, {{{L=m*sqrt(A/m)}}}.
Rationalizing their denominators, 
{{{highlight(w=sqrt(Am)/m)}}} and {{{highlight(L=sqrt(Am))}}}.


Question is to find p.
{{{p=2w+2L}}}
{{{highlight(p=2sqrt(Am)/m+2*sqrt(Am))}}}
And substitute the given values occurring from the description.
Compute p.