Answer:
D: 108 cm
Step-by-step explanation:
Use your test-taking skill to eliminate the other answers. The perimeter of the given square is (9 cm)×4 = 36 cm. None of the other answers can possibly be correct for a square that is made larger by dilation.
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Every linear measure is increased by the dilation factor. If side lengths are multiplied by 3, then the perimeter is multiplied by 3.
... 3×36 cm = 108 cm
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Another way to ge there is to realize the side length is multiplied by 3, so in the larger square is 3×9 cm = 27 cm. The perimeter is the the sum of the 4 equal sides, so is ...
... 4×27 cm = 108 cm