is the perimeter of square ABCD.
Step-by-step explanation:
Coordinates of square ABCD:
A = (3,4), B = (2,-2), C = (-4-1) , D = (-3,5)
Distance formula: ![(x_1,y_1),(x_2,y_2)](/tpl/images/0132/4942/f7595.png)
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](/tpl/images/0132/4942/c9678.png)
Distance of AB: A = (3,4), B = (2,-2)
![AB=\sqrt{(2-3)^2+(-2-4)^2}](/tpl/images/0132/4942/a6d60.png)
![AB=\sqrt{(-1)^2+(-6)^2}=\sqrt{37} units](/tpl/images/0132/4942/400cc.png)
Given that the ABCD is square, then:
AB = BC = CD = DA
Perimeter of the square ABC = AB +BC + CD + DA
![AB+ AB+ AB+ AB= 4AB=4\sqrt{37} units](/tpl/images/0132/4942/3d8b6.png)
is the perimeter of square ABCD.