Explanation:

- In similar triangles, the ratio of the areas is equal to the square of the ratio of the corresponding sides.

- Given the area ratio is 196:625.

- To find the ratio of the sides, take the square root of the area ratio:

- \(\sqrt{196} = 14\)

- \(\sqrt{625} = 25\)

- So, the ratio of the corresponding sides is 14:25.

Option 1: 14:25 is the correct answer.

- Option 2 (13:20) is incorrect since the numbers do not align with the square root results.

- Option 3 (14:20) is incorrect; it has the correct numerator, but the denominator is wrong.

- Option 4 (13:25) is incorrect because it does not match the square root values.

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