Verified Answer :

2(3z+2)+2(2z+3)
6z+4+4z+6
6z+4z+4+6
(10z+10) units

Hope this helps :)

We know, the Perimeter = 2(l + w)
Here., l = 3z + 2
w = 2z + 3

Substitute their values, 
P = 2(3z + 2 + 2z + 3)
P = 2(5z + 5)
P = 10z + 10

In short, Your Answer would be 10z + 10

Hope this helps!