A triangle on a coordinate plane was dilated. After being dilated, its area is 6.25 as great as the original figure. What is the scale factor?

Let $x$ be the scale factor. Then the ratio of the areas is $x^2 = 6.25 = \left(5/2\right)^2.$ Since $x$ must be positive, $x = \boxed{\frac{5}{2}}.$

what is the answer?

The answer is $\boxed{\frac{5}{2}}.$