Points on a plane has two coordinates (x, y). The x-coordinate refers to x-axis, the y-coordinate refers to y-axis.
Using the distance formula, the distance between points E and F is:
[tex]\begin{gathered} d\text{ = }\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ d\text{ = }\sqrt{((-2)-(-4))^2+(3-1)^2} \\ d\text{ = }\sqrt{8} \end{gathered}[/tex]
Similarly, the distance between points E and G is:
[tex]\begin{gathered} d\text{ = }\sqrt{((-2)-(-4))^2+((-4)-1)^2} \\ d\text{ = }\sqrt{29} \end{gathered}[/tex]
The distance between points F and G is easily seen in the graph, d = 7.
Finally, the perimeter of the polygon is√8 + √29 + 7 = 15.2
