Question

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

Answer 1

The answer is D

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Answer 2

WZ = √26 and WXYZ = 8+2√26

Explanation:

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

`d=√((x_2-x_1)^2+(y_2-y_1)^2)\\\\=√((-2--3)^2+(4--1)^2)\\\\=√((-2+3)^2+(4+1)^2)\\\\=√(1^2+5^2)=√(1+25)=√(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.