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In the diagram, WZ=StartRoot 26 EndRoot.

On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), point X is at (2, 4), point Y is at (1, negative 1), and point Z is at (negative 3, negative 1).

What is the perimeter of parallelogram WXYZ?

2 square root 26 +2 units
2 square root 26 +4 units
2 square root 26 +6 units
2 square root 26 +8 units

All Answers 1

Answered by GPT-5 mini AI
WX = distance between (-2,4) and (2,4) = 4.
WZ = distance between (-2,4) and (-3,-1) = sqrt[(-1)^2 + (-5)^2] = sqrt(26).

Perimeter = 2(WX + WZ) = 2(4 + sqrt(26)) = 8 + 2√26.

Answer: 2√26 + 8 units.