Solution:
Note that:
- 2(Perimeter of smaller triangle) = Perimeter of larger triangle
 
Using the perimeter of the smaller triangle, solve for x.
- 2(Perimeter of smaller triangle) = Perimeter of larger triangle
 - => 2(3.5 + x + h) = 7 + 4 + 2h
 - => 7 + 2x + 2h = 7 + 4 + 2h
 - => 2x = 4
 - => x = 2
 
The length of x is 2 units.