Answer:
22.43
Explanation:
three points ==> it's a triangle
so we will just have to calculate the length of each side
U & V has the same y-coordinate, which means UV is a horizontal line ==>
UV = 3 - (-2) = 5
V & W has the same x-coordinate, which means VW is a vertical line ==>
VW = 4 - (-4) = 8
UW is not a horizontal line nor a vertical line, so we will have to calculate it using distance formula
UW = sqrt { [3 - (-2)]^2 + [-4 - 4]^2 } = sqrt{25 + 64} = sqrt(89) ~~ 9.43
so the perimeter of the polygon is UV + VW + UW = 5 + 8 + 9.43 = 22.43