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In similar triangles, if the ratio of corresponding side lengths is $k$, what are the ratios of their perimeters and areas?

Study flashcard from the deck Digital SAT: Comprehensive Practice (Math & Reading-Writing).

Answer

Ratio of perimeters is $k$; ratio of areas is $k^2$.

Explanation

If triangle B has sides 3 times as long as triangle A ($k=3$), its perimeter is 3 times as large and its area is $3^2 = 9$ times as large.

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