Question

On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (0, negative 1), point W is at (4, 0), point Y is at (3, negative 2), and point Z is at (negative 1, negative 3). What is the perimeter of parallelogram WXYZ?

Answer 1

Answer:

B) 2 StartRoot 5 EndRoot + 2 StartRoot 17 EndRoot units

Step-by-step explanation:

Answer 2

Answer:

12.718 units

Step-by-step explanation:

The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).

So,the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}

Now, length of WX = $\sqrt{(-1)^{2} + 4^{2} } = \sqrt{17} = 4.123$ units,

And, length of XY = $\sqrt{(4-3)^{2} + (0-(-2))^{2}} = \sqrt{5} = 2.236$ units.

Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)