To find the length of side of square, we have to use distance formula.
Points are (-4,-6) and (5,-1)
Formula for distance between two points.
[tex]d= \sqrt{( x_{2}-x_1 )^2+(y _2-y_1)^2 } \\
Put \ values \\
d= \sqrt{( 5+4)^2)+(-1+6)^2 } \\
d= \sqrt{( 9)^2)+(5)^2 } \\
d=\sqrt{106} \\
d=10.3 \ units
[/tex]
So length of side of square is 10.3 units.
Answer: 10.3 units