The perimeter of parallelogram WXYZ is 50 millimeters. What is WZ?
2 mm, 7 mm, 23 mm, 25 mm

Solution:

Given: Perimeter of parallelogram WXYZ is 50 millimeters

We know that,

Perimeter = 2 [(2x + 9) + (x - 5)]

By further calculation

Perimeter = 2(3x + 4)

So we get,

Perimeter = 6x + 8

Here 6x + 8 = 50

6x = 50 - 8

6x = 42

x = 7

We get,

WZ = xy = x - 5 = 7 - 5 = 2 mm

Therefore, WZ is 2 mm.

The perimeter of parallelogram WXYZ is 50 millimeters. What is WZ?

Summary:

If the perimeter of parallelogram WXYZ is 50 millimeters then the value of WZ is 2 mm.