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Square ABCD has sides of length 100 units. Its vertices are located at A(0, 100), B(100, 100), C(100, 0) and D(0, 0). F is the midpoint of DC and E is the midpoint of AD. A line segment drawn from A to F intersects a line segment drawn from B to E at G.
Determine the sum of the area of triangle AGE and the area of triangle BGF.