In order to find the length of the side CD in the pentagon ABCDE we would need to find the distance between the two points (4,-2) and (8, 2)
We would use the following formula:
![d=\sqrt[]{(x1-x2)^2+(y1-y2)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/wslwkaiwdj04j9o37dalkx2989jqf3s5zy.png)
plug in x1= 4, x2= 8, y1=-2, y2=2
So,
![d=\sqrt[]{(4-8)^2+(-2-2)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/8f5e5ysz4vkuzrqkeowgskdgq1rduylcmo.png)
![d=\sqrt[]{(-4)^2+(-4)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/72rbsp4dpacfb6qvnnp3blykvlvitrqpvu.png)
![d=\sqrt[]{32}](https://img.qammunity.org/2023/formulas/mathematics/college/ec8aetzzn5xi3h7mz9jn1nubqp3mpi0v29.png)
d=5,65
The length of the side CD in the pentagon ABCDE would be 5,62