STEP 1:
Set a ratio to determine the side length of triangle TUV. Since the two triangles are similar, the sides are proportional.
x= side length of TUV
6m/8m= 15m/x
cross multiply
(6*x)= (8*15)
6x= 120
divide both sides by 6
x= 20m side of TUV
STEP 2:
Add sides of triangle TUV
Perimeter= 20m + 20m + 8m
Perimeter= 48m
ANSWER: The perimeter of triangle TUV is 48m (bottom answer).
Hope this helps! :)