Explanation:

- Let's denote the length as \( L \) and the breadth as \( B \).

- Given that the difference between the length and breadth is 16 cm:

$$

L - B = 16

$$

- The perimeter of the rectangle is given as 188 cm:

$$

2(L + B) = 188

$$

- Solving for \( L \) and \( B \):

$$

L + B = 94

$$

$$

L - B = 16

$$

- Adding these two equations:

$$

2L = 110 \Rightarrow L = 55 \text{ cm}

$$

- Substituting \( L = 55 \) back into \( L + B = 94 \):

$$

55 + B = 94 \Rightarrow B = 39 \text{ cm}

$$

- Now, calculate area:

$$

\text{Area} = L \times B = 55 \times 39 = 2145 \text{ cm}^2

$$

- Correct Answer: Option 2: 2145 cm²