Problem
Given B(1,0), A(5,0) and E( 5, -7). Sketch a graph and find the perimeter of the
Polygon. Round your final answer to the hundredths place.
Solution
We can calculate the distance between any two points with the following formula:
![d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/be685jmxw05hm2tq94m5iuge2xjynn1hfn.png)
The distance between A and B is:
![d_(AB)=\sqrt[]{(0-0)^2+(5-1)^2}=4_{}](https://img.qammunity.org/2023/formulas/mathematics/college/yj7irubdhzbxr64noxjch7z73ny23lgbyn.png)
Between BE we have:
![d_(BE)=\sqrt[]{(-7-0)^2+(5-1)^2}=8.062](https://img.qammunity.org/2023/formulas/mathematics/college/t33b76jgyzrnclqo4ncvc8fmknd64ri1xg.png)
And between A and E is:
![d_(AE)=\sqrt[]{(-7-0)^2+(5-5)^2}=7](https://img.qammunity.org/2023/formulas/mathematics/college/9lxr9yfqmw2kci26z3lpjay3ch6gtjp4ug.png)
And then the perimeter would be given by the sum of the sides and we got:
P= 4+8.062+7=19.0623