Find the value of x.

Answer:
x = 5.
Step-by-step explanation:
ZY = 2*2x = 4x. (Parallel line in a triangle theorem).
XZ = 2 * (4x + 1) = 8x + 2
XY = 2 *(2x + 3) = 4x + 6
So the perimeter 88 = 4x + 8x + 2 + 4x + 6
88 - 8 = 16x
16x = 80
x = 5.
(Sorry but I can't remember the exact name of the theorem).