Explanation:

- The area of the square is given as 1764 m².

- Find the side of the square:

$$\text{Side} = \sqrt{1764} = 42\text{ m}$$

- The breadth of the rectangle is 1/3 of the side of the square:

$$ \text{Breadth} = \frac{42}{3} = 14\text{ m} $$

- The length of the rectangle is 4 m less than the breadth:

$$ \text{Length} = 14 - 4 = 10\text{ m} $$

- Calculate the area of the rectangle:

$$ \text{Area} = \text{Length} \times \text{Breadth} = 10 \times 14 = 140\text{ m²} $$

- Options to choose from include:

Option 1: 126

Option 2: 130

Option 4: 140

Option 5: 120

Correct Answer: Option 4, 140