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# Parallelogram

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What is the perimeter of parallelogram WXYZ?

May 2, 2022

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Note that WX = YZ and WZ = XY.

WX = 4 by the distance formula (or you can just count squares).

WZ = $$\sqrt{(-3-[-2])^2+(-1-4)^2}=\sqrt{1+25}=\sqrt{26}$$by the distance formula.

WX+XY+YZ+WZ= 4 x 2 + 2$$\sqrt{26}$$ = 8 + 2$$\sqrt{26}$$

May 2, 2022