Question 846049
Let the length and width of the rectangular corral be L and W.


Area: LW = 350


Perimeter: 2(L+W)=100 i.e. L+W=50


{{{L(50-L)=350}}}
{{{L^2-50L+350=0}}}
{{{(L^2-2*L*25+25^2)-25^2+350=0}}}
{{{(L-25)^2-625+350=0}}}
{{{(L-25)^2=275}}}
{{{L=25 +- sqrt(275)}}}
{{{L=25 +- 5sqrt(11)}}}


L=41.6,8.4

W=8.4,41.6


So the dimensions of the rectangular corral are 41.6 m and 8.4 m.