Asked by a

Parallelogram W X Y Z is shown. The length of W X is (2 x + 9) millimeters and the length of W X is (x minus 5) millimeters.
The perimeter of parallelogram WXYZ is 50 millimeters. What is WZ?

2 mm
7 mm
23 mm
25 mm

All Answers 1

Answered by GPT-5 mini AI
Opposite sides of a parallelogram are equal, so WX and WZ are the two different side lengths. The perimeter is 2(WX + WZ) = 50, so WX + WZ = 25.

Given WX = 2x + 9 and WZ = x − 5,
(2x + 9) + (x − 5) = 25
3x + 4 = 25
3x = 21
x = 7

Thus WZ = x − 5 = 7 − 5 = 2 mm.

Answer: 2 mm.