Answer:
Step-by-step explanation:
Given vertices WXYZ:
- W(-4,5), X(2,4), Y(3, -4), Z(-1, -6)
Perimeter is the sum of the side length.
Use distance formula to find each side:
- WX = [tex]\sqrt{(2+4)^2+(4-5)^2} =\sqrt{37}[/tex] ≈ 6.08
- XY = [tex]\sqrt{(3-2)^2+(-4-4)^2} =\sqrt{65}[/tex] ≈ 8.06
- YZ = [tex]\sqrt{(-1-3)^2+(-6+4)^2} =\sqrt{20}[/tex] ≈ 4.47
- WZ = [tex]\sqrt{(-1+4)^2+(-6-5)^2} =\sqrt{130}[/tex][tex]\sqrt{(-1+4)^2+(-6-5)^2}=\sqrt{130}[/tex] ≈ 11.40
Find perimeter:
- P = 6.08 + 8.06 + 4.47 + 11.40 = 30.01 units
