The Perimeter of WXY is 24 units .
To calculate the Perimeter, we find the length of all 3 sides of the triangle;
Using the distance formula :
WX = (-10, 8) ; (-10, 0)
WX = √(-10 - (-10)) + (0 - 8)
WX = √0 + 64
WX = 8
XY = (-10, 8) ; (-4, 0)
XY = √(-4 - (-10)) + (0 -8)
XY = √36 + 64
XY = 10
WY = (-10, 0) ; (-4, 0)
WY = √(-4 - (-10)) + (0 - 0)
WY = √36 + 0
WY = 6
WX + XY + WY
= 8 + 10 + 6
= 24 units