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#33430

area

similarity

geometry

medium

150 sec

In triangle $MNP$ , angle $P$ is a right angle. Point $Q$ lies on $MN$ , point $R$ lies on $NP$ , and $QR$ is parallel to $MP$ . If the length of $MP$ is 40 units, the length of $QR$ is 16 units, and the length of $RP$ is 18 units, what is the area of triangle $MNP$ , 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.