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geometry intermediate

Problem

The line joining and divides the square shown into two parts. What fraction of the area of the square is above this line? Express your answer as a common fraction.

problem
Solution
The triangle below the line has height 2, and base 3, making for a total area of 3, which is of the total area, meaning that of the area is above the line. You can also do this by visually dividing the square into 3 equal-area horizontal rectangles, noticing that the triangle covers half the area of the bottom two, thereby leaving of the square above the line.
Final answer
\frac{2}{3}