To find the length of WZ in the parallelogram WXYZ, we first need to understand the properties of a parallelogram. In a parallelogram, opposite sides are equal in length. This means that if we denote the lengths of the sides as WZ and XY (which are equal), and WX and YZ (which are also equal), we can express the perimeter as:
Perimeter = 2(WZ + WX)
Given that the perimeter is 50 millimeters, we can set up the equation:
50 = 2(WZ + WX)
If we divide both sides by 2, we get:
25 = WZ + WX
Unfortunately, without additional information about the length of WX or any other side, we can’t determine the exact value of WZ. WZ could vary depending on the length of WX. If, for example, WX were known to be 10 mm, then WZ would be:
WZ = 25 – WX = 25 – 10 = 15 mm.
In summary, we need more information about the sides of the parallelogram to find the exact length of WZ.