Explanation:

To solve the equation, follow these steps:

- Calculate the square root of 1225:

\(\sqrt{1225} = 35\)

- Multiply by 12:

\(35 \times 12 = 420\)

- Calculate the square root of 4900:

\(\sqrt{4900} = 70\)

- Subtract 19 squared:

\(19^2 = 361\)

- Complete the equation:

\(420 + 70 - 361 = 129\)

Thus, the correct answer is Option 1: 129.

- Option 1: 129

- Option 2: 139

- Option 3: 141

- Option 4: 213

- Option 5: 175