Scale, similarity, and dimensional change
Area, volume, and coordinate geometry · Stage 2
Recognize the pattern
Area scales with the square of the length scale factor.
Useful rulelength k, area k², volume k³
Build on: GEO-01
Try it before reading the solution
A square’s side length is tripled. By what factor does its area change?
This teaching example is original and is not an official SAT question.
Reasoning
The length factor is 3, so the area factor is 3²=9.
Answer9
03 · Next step
See membership →Ready for adaptive practice
Practice questions remain in English, as on the SAT.