Question 813742
let the side of the triangle be s

perimeter p= 3s

s=(p/3)

Area = {{{(sqrt(3)/4) * s^2}}}

= {{{(sqrt(3)/4)*(p/3)^2}}}

= {{{(sqrt(3)/4)*(p^2/9)}}}

= {{{p^2/(12sqrt(3))}}}