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#12336

similarity

area

geometry

hard

42 sec

Triangles $PQR$ and $X Y Z$ are similar. The ratio of the side length of triangle $PQR$ to the corresponding side length of triangle $X Y Z$ is $3 : 1$ . If the area of triangle $X Y Z$ is 50 square centimeters, what is the area, in square centimeters, of triangle $PQR$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.