Explanation:

- We are given that the difference between the length and the breadth of the rectangle is 16 cm.

- The formula for the perimeter of a rectangle is:

$$ \text{Perimeter} = 2(\text{Length} + \text{Breadth}) $$

- Given the perimeter is 188 cm, we setup the equation:

$$ 2(L + B) = 188 \Rightarrow L + B = 94 $$

- We also have:

$$ L - B = 16 $$

- Solving these equations simultaneously:

$$ L + B = 94 $$

$$ L - B = 16 $$

Adding these:

$$ 2L = 110 \Rightarrow L = 55 $$

Substituting in \( L + B = 94 \):

$$ 55 + B = 94 \Rightarrow B = 39 $$

- Now, calculating the area:

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

- Hence, the correct option is: Option 2, 2145 cm²

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