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A plot of land is in the form of a quadrilateral where one of its diagonals is 100 m long. If two vertices on either side of this diagonals are 50 m away from the diagonal. Find the area of the plot of land

5000 $m^{2}$
1000 $m^{2}$
10000 $m^{2}$
500 $m^{2}$
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