Let:
[tex]\begin{gathered} (x1,y1)=(0,0) \\ (x2,y2)=(1,3) \end{gathered}[/tex]
Let's use the distance formula:
[tex]\begin{gathered} d=\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ d=\sqrt[]{(3-0)^2+(1-0)^2} \\ d=\sqrt[]{9+1} \\ d=\sqrt[]{10} \end{gathered}[/tex]
Therefore the side length is:
[tex]s=\sqrt[]{10}[/tex]
The area is given by:
[tex]A=s^2=(\sqrt[]{10})^2=10[/tex]
And the perimeter is the sum of all sides, so:
[tex]P=\sqrt[]{10}+\sqrt[]{10}+\sqrt[]{10}+\sqrt[]{10}=4\sqrt[]{10}[/tex]
