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? units units units units

Accepted Solution

Answer: Last option.Step-by-step explanation: Observe the diagram. The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then: [tex]P=WX+XY+YZ+WZ[/tex] You know the lenght of the side WZ. This is: [tex]WZ=\sqrt{26}\ units[/tex] Notice that: [tex]XY=WZ=\sqrt{26}\ units[/tex] Now, you must find the lenghts of the sides WX and YZ ([tex]WX=YZ[/tex]) Observe that WZ goes from 2 to -2, therefore its lenght is: [tex]WX=YZ=2-(-2)=4\ units[/tex] Therefore, substituting values, you get that the perimeter of the paralellogram is: [tex]P=(4+ \sqrt{26}+4+\sqrt{26})\ units\\\\P=2\sqrt{26} +8\ units[/tex]