Question 165046
The sides of the square are horizontal and vertical
The horizontal side through (-1,4) has the equation 
{{{y = 4}}} because {{{y}}} is the same no matter
what the {{{x}}} is
The vertical side through (-1,4) has the equation
{{{x = -1}}} because {{{x}}} is the same no matter what the 
{{{y}}} is
If the perimeter is {{{36}}}, each side is {{{9}}}
{{{9}}} units horizontally to the right of (-1,4)
is the point (8,4).
The vertical line through this point parallel to
{{{x = -1}}} is {{{x = 8}}} ({{{-1 + 9}}})
So far I have 3 of the 4 lines
The last line passes through (-1,13) parallel to
the x-axis. Its equation is {{{y = 13}}}
The equations of the 4 lines are:
{{{x = -1}}}
{{{x = 8}}}
{{{y = 4}}}
{{{y = 13}}}