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The correct answer is D: It is 1/9 as great.
When a two-dimensional shape is dilated by a factor of 13, the area of the shape is multiplied by the square of the dilation factor. In this case, the area is multiplied by (13)^2 = 169.
Therefore, the area of the dilated shape is 1/169 times the area of the original shape. This means that the area is 1/9 as great as the original area.