9514 1404 393
Answer:
24 cm
Explanation:
The perimeter of the left-side triangle is ...
20 +25 +15 = 60 cm
The scale factor to the right-side triangle is the ratio of corresponding sides. The scale factor of perimeters is the same.
XZ/LN = perimeter(XYZ)/perimeter(LMN)
6/15 = P/(60 cm)
P = (60 cm)(6/15) = 24 cm
The perimeter of ΔXYZ is 24 cm.