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Geometry
Dilations
Scaling factor
A triangle on a coordinate plane was dilated. After being dilated, its area is 6.25 times as great as the original figure. What was the scale factor?
3 answers
Apologies for that. The scale factor is $\frac{5}{2}$ or $2.5$.
Let the scale factor be $k$. Then the ratio of the areas is $k^2 = 6.25 = \left(\frac{5}{2}\right)^2$. Since $k$ must be positive, $k = \boxed{\frac{5}{2}}$.
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