Answer:
4[tex]\sqrt{37}[/tex]
Step-by-step explanation:
Since the figure is a square, find the length of 1 side and multiply by 4 for perimeter.
Calculate the length of AB using the distance formula.
AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(3, 4) and (x₂, y₂ ) = B(2, - 2)
AB = [tex]\sqrt{(2-3)^2+(-2-4)^2}[/tex]
= [tex]\sqrt{(-1)^2+(-6)^2}[/tex]
= [tex]\sqrt{1+36}[/tex]
= [tex]\sqrt{37}[/tex]
Hence
perimeter = 4AB = 4[tex]\sqrt{37}[/tex]
