FERMAT 2009 Problem 22

In the diagram, two straight lines are to be drawn through O(0, 0) so that the lines divide the figure OPQRST into 3 pieces of equal area. The sum of the slopes of the lines will be

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Answer Choices
A. \frac{35}{24}
B. \frac76
C. \frac54
D. \frac43
E. \frac{11}{8}