Following are the questions based on two statements and answer the following based on the given statements.
Side of square is 3.5 cm more than radius of circle. What will be area of square?
Statement I. Difference between circumference and i diameter of circle is 45 cm.
Statement Il. Radius of circle is 50% more than breadth of rectangle whose length is 15 cm. Ratio of circumference of circle & perimeter of rectangle is 3 : 2.

Options

A. Only statement II is sufficient
B. Either statement I or Statement ll alone is sufficient
C. Statement I and II both together is sufficient
D. Only statement lis sufficient

Answer

To solve the problem, we need to determine the area of a square whose side is 3.5 cm more than the radius of a circle. We will analyze the two statements provided to see if either one or both can help us find the area of the square.

### Step-by-Step Solution:

1. **Understanding the Problem:**
- Let the radius of the circle be \( r \) cm.
- The side of the square is then \( r + 3.5 \) cm.
- The area of the square is given by the formula:
\[ \text{Area} = \text{side}^2 = (r + 3.5)^2 \]

2. **Analyzing Statement I:**
- Statement I states that the difference between the circumference and the diameter of the circle is 45 cm.
- The circumference of the circle is given by \( C = 2\pi r \) and the diameter is \( D = 2r \).
- Therefore, the difference can be expressed as:
\[ C - D = 2\pi r - 2r = 45 \]
- Simplifying this, we have:
\[ 2r(\pi - 1) = 45 \]
- Solving for \( r \):
\[ r = \frac{45}{2(\pi - 1)} \]
- Substituting the approximate value of \( \pi \approx 3.14 \):
\[ r \approx \frac{45}{2(3.14 - 1)} \approx \frac{45}{4.28} \approx 10.5 \text{ cm} \]
- Now, substituting \( r \) back to find the side of the square:
\[ \text{Side} = 10.5 + 3.5 = 14 \text{ cm} \]
- The area of the square is:
\[ \text{Area} = 14^2 = 196 \text{ cm}^2 \]

3. **Analyzing Statement II:**
- Statement II states that the radius of the circle is 50% more than the breadth of a rectangle whose length is 15 cm, and the ratio of the circumference of the circle to the perimeter of the rectangle is 3:2.
- Let the breadth of the rectangle be \( b \). Then:
\[ r = 1.5b \]
- The perimeter of the rectangle is:
\[ P = 2(\text{length} + \text{breadth}) = 2(15 + b) = 30 + 2b \]
- The circumference of the circle is:
\[ C = 2\pi r = 2\pi(1.5b) = 3\pi b \]
- The ratio given is:
\[ \frac{C}{P} = \frac{3\pi b}{30 + 2b} = \frac{3}{2} \]
- Cross-multiplying gives:
\[ 3\pi b \cdot 2 = 3(30 + 2b) \]
- Simplifying:
\[ 6\pi b = 90 + 6b \]
- Rearranging:
\[ 6\pi b - 6b = 90 \implies 6b(\pi - 1) = 90 \implies b = \frac{90}{6(\pi - 1)} \]
- Thus, substituting back to find \( r \):
\[ r = 1.5b = \frac{135}{\pi - 1} \]
- Using \( \pi \approx 3.14 \):
\[ r \approx 10.5 \text{ cm} \]
- The side of the square is:
\[ \text{Side} = 10.5 + 3.5 = 14 \text{ cm} \]
- The area of the square is:
\[ \text{Area} = 14^2 = 196 \text{ cm}^2 \]

4. **Conclusion:**
- Both statements I and II independently provide sufficient information to calculate the area of the square.
- Therefore, the answer is that either statement alone is sufficient.

### Final Answer:
**Option B:** Either statement I or statement II alone is sufficient.