In triangle ABC , X and Y are points on line AB such that line AX = line YB . similarly , P and Q are points on line AC such that line AP =line PQ= line QC . Line XC cuts line YQ at Z. prove that
a. Z is the midpoint of line XC
b. line YZ = 3 of line ZQ.

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Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use any method invocations.

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