Answer:
4[tex]\sqrt{41}[/tex]
Step-by-step explanation:
Since it is a square, we just need to find one side because all the rest will be the same.
Distance formula: [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Step 1: Plug in
(x1, y1) is (1, 4)
(x2, y2) is (-4, 0)
d = [tex]\sqrt{(-4 - 1)^2 + (0-4)^2}[/tex]
d = [tex]\sqrt{(-5)^2+(-4)^2}[/tex]
d = [tex]\sqrt{25+16}[/tex]
d = [tex]\sqrt{41}[/tex]
1 side
Step 2: Find perimeter
[tex]\sqrt{41}[/tex] * 4
4[tex]\sqrt{41}[/tex]
Answer: 4[tex]\sqrt{41}[/tex]
