Question

Find the perimeter of WXYZ. Round to nearest tenth if necessary.​

Answer 1

Answer: 23.1

Explanation:

The coordinates of the vertices are W(-2, 4), X(3, 1), Y(4, -4), and Z(-1, -3).

Using the distance formula,

`WX=\sqrt{(-2-3)^(2)+(4-1)^(2)}=√(34)\\\\XY=\sqrt{(3-4)^(2)+(1-(-4))^(2)}=√(26)\\\\YZ=\sqrt{(4-(-1))^(2)+(-4-(-3))^(2)}=√(26)\\\\WZ=\sqrt{(-2-(-1))^(2)+(4-(-3))^(2)}=√(50)`

So, the perimeter is
`√(34)+√(26)+√(26)+√(50) \approx \boxed{23.1}`