#### Answer

52 units

#### Work Step by Step

Given ZT = 5 and TY = 12
As we can see tha triangle VZT is rigth angle triangle
So by using Pythagoras theorem
$VT^{2}$ =$VZ^{2}$ + $ZT^{2}$
$VT^{2}$ = $12^{2}$ + $5^{2}$ (Since VZ = TY)
$VT^{2}$ = 144 + 25 = 169
VT = $\sqrt 169$ = 13
Similarly VR = RS = ST = 13 units as RSTV is a square
So perimeter of RSTV = RS+ST+TV+VR
= 13+13+13+13
= 52 units