Question 1152338
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When a figure (any shape!) is dilated by a factor of 3, the scale factor (ratio of linear measurements) between the original figure and the dilated figure is 3:1.<br>
If the scale factor between two similar figures is 3:1, then the ratio of the areas is the square of that, which is 9:1.  If the figure were 3-dimensional, then the ratio of volumes would be the cube of the scale factor, which would be 27:1.<br>
Tristan's answer is right, because 72/9 = 8.<br>
None of the answer choices is correct.<br>
Answer choices A and B are both wrong, because they say Tristan's answer is wrong.<br>
Answer choice D is wrong, because it says the dimensions of the original rectangle have to be multiplied by 3.<br>
And answer choice C, while closest to being correct, is still not right, because THERE IS NO NEED TO FIND/GUESS THE DIMENSIONS OF THE ORIGINAL TRIANGLE, DIVIDE THEM BOTH BY 3, AND THEN MULTIPLY THE NEW DIMENSIONS TO FIND THE NEW AREA.<br>
The only thing he needs to do is divide the area of the original rectangle by 3^2=9.<br>
So Tristan's answer is right; and none of the given answer choices is correct.<br>