Question 985034
w, width of pond
L, length of pond
u, path width around pond
A, area of the path


VARIABLES DESCRIBED OR ASSIGNED
{{{system(highlight_green(L=w+4),u=2,A=216)}}}


FIND w and L


Total Area minus Pond Area is the Path Area.
{{{highlight_green((L+2u)(w+2u)-wL=A)}}}----Maybe misunderstanding how meant "total area";
{{{wL+2uL+2uw+4u^2-wL-A=0}}}
{{{2uL+2uw+4u^2-A=0}}}
Substitute for L;
{{{2u(w+4)+2uw+4u^2-A=0}}}
{{{2uw+8u+2uw+4u^2-A=0}}}
{{{4uw+8u+4u^2-A=0}}}
{{{4uw=A-8u-4u^2}}}
{{{highlight_green(w=(A-8u-4u^2)/4u)}}}


Substitute the given values for u and A and evaluate w;
Use this result to evauate L.