Question: 3. A rectangle with sides parallel to the coordinate axes has one vertex at the origin, one on the positive x-axis, one on the positive

3. A rectangle with sides parallel to the coordinate axes has one vertex at the origin, one on the positive x-axis, one on the positive y-axis, and its fourth vertex in the first quadrant on the straight line with equation 3x + 2y = 100, as illustrated below. What is the maximum possible area of such a rectangle? 3x + 2y = 100 (x, y) [4 marks]

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