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#33428

area

similarity

geometry

medium

120 sec

In triangle $X Y Z$ , angle $Z$ is a right angle. Point $A$ lies on $X Y$ , and point $B$ lies on $Y Z$ , such that $A B$ is parallel to $XZ$ . If the length of $XZ$ is 18 units and the length of $A B$ is 6 units, and the area of triangle $X Y Z$ is 162 square units, what is the area of trapezoid $X A BZ$ , in square units?

• 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.