Question

Quadrilateral WXYZ is a rectangle. The perimeter of triangle XYZ is 24, XY + YZ = 5x-1, and XZ = 13-x. What is the perimeter of WXYZ

Answer 1

The answer is 28. Hope this helps! :-)

Answer 2

5 x - 1 + 13 - x = 24
4 x + 12 = 24
4 x = 24 - 12
4 x = 12
x = 3
The perimeter of WXYZ: 2 ( XY + YZ ) = 2 ( 5 x - 1 ) = 2 ( 5 · 3 - 1 ) =
2 ( 15 - 1 ) = 2 · 14 = 28