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When a scale factor of 1.5 is used to create a scale drawing of a square, it means that the side lengths of the scale drawing will be 1.5 times the length of the corresponding side in the original square.
Since area is proportional to the square of the side length, the area of the scale drawing will be (1.5)^2 = 2.25 times the area of the original square.
Therefore, the area of the scale drawing compared to that of the original square is 2.25.