Answer: The perimeter is 17.52
Step-by-step explanation:
1. You can plot the points, as you can see in the graph attached.
2. As you can see in the graph, the points are:
[tex]A(-2,-2)\\B(-2,3)\\C(2,4)\\D(3,1)\\E(0,-2)[/tex]
And the lenghts AB and EA are:
[tex]AB=5[/tex]
[tex]EA=2[/tex]
3. To find the other lenghts, you can apply the formula for calculate the distance between two points:
[tex]distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
4. Thefore, you have:
[tex]BC=\sqrt{(2-(-2))^{2}+(4-3)^{2}}=4.12\\CD=\sqrt{(2-3)^{2}+(4-1)^{2}}=3.16\\DE=\sqrt{(3-0)^{2}+(1-(-2))^{2}}=4.24[/tex]
5. The perimeter is:
[tex]P=AB+CD+DE+EA\\P=5+4.12+3.16+4.24+2\\P=17.52[/tex]
