Question

#12 with explanation please

Answer 1

Answer:

• 30.01 units

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 = $\sqrt{(2+4)^2+(4-5)^2} =\sqrt{37}$ ≈ 6.08
• XY = $\sqrt{(3-2)^2+(-4-4)^2} =\sqrt{65}$ ≈ 8.06
• YZ = $\sqrt{(-1-3)^2+(-6+4)^2} =\sqrt{20}$ ≈ 4.47
• WZ = $\sqrt{(-1+4)^2+(-6-5)^2} =\sqrt{130}$$\sqrt{(-1+4)^2+(-6-5)^2}=\sqrt{130}$ ≈ 11.40

Find perimeter:

• P = 6.08 + 8.06 + 4.47 + 11.40 = 30.01 units