Respuesta :

Answer:

Step-by-step explanation:

12.718 units

Step-by-step explanation:

The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).

So, the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}

Now, length of WX =  units,  To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(-1)%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B17%7D%20%3D%204.123

And, length of XY =  units, To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(4-3)%5E%7B2%7D%20%2B%20(0-(-2))%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%7D%20%3D%202.236

Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)