Question

In the diagram, WZ = . The perimeter of parallelogram WXYZ is + units

Answer 1

Answer:

WZ = √26 and WXYZ = 8+2√26

Step-by-step explanation:

We can see from the diagram that WZ goes from (-2, 4) to (-3, -1).  Using the distance formula, we have

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\=\sqrt{(-2--3)^2+(4--1)^2}\\\\=\sqrt{(-2+3)^2+(4+1)^2}\\\\=\sqrt{1^2+5^2}=\sqrt{1+25}=\sqrt{26}$

Since WZ and XY are the same length, then these two sides together give us a length of

√26+√26 = 2√26.

Since WX is a horizontal segment, we find the distance of the segment by finding the distance between the x-coordinates:

2--2 = 4

WX and ZY are the same length, so this gives us

4+4 = 8

This makes the total perimeter 8 + 2√26 units.

Answer 2

Answer:

the correct answer is 8 units just took the test