Question

What is the perimeter of parallelogram WXYZ?

Answer 1

The answer is B ( 2*square root 5* + 2 *square root 17* units)

Answer 2

The first thing we must do for this case is to find the distance between points.

For this, we use the formula of distance between points:

`d = √((x2-x1)^2 + (y2-y1)^2)`

We have then:

For WX:

`image`

For XY:

`image`

Then, since the parallelogram has sides that are parallel, then its distances measure the same.

Thus, the perimeter of the parallelogram is:

`P = 2WX + 2XY`

Substituting values:

`P = 2√(17) + 2√(5)`

Answer:

the perimeter of parallelogram WXYZ is:

`P = 2√(17) + 2√(5)`

option 2