In each of the following questions a question is followed by information given in three statements. You have to study the question along with the statement and decide the information given in which of the statement (s) is necessary to answer the question.
What is the area of the square ?
(1) Measure of diagonal of the square is given
(2) Measure of one side of square is given
(3) Perimeter of the square is given

Options

A. Only (2)
B. Only (3)
C. Only (1) and (3)
D. Only (1), (2) and (3)

Answer

To determine the area of a square, we can use the information provided in the three statements. Let's analyze each statement step by step.

### Step-by-Step Solution:

1. **Understanding the Area of a Square**:
The area \( A \) of a square is calculated using the formula:
\[ A = \text{side}^2 \]
where "side" is the length of one side of the square.

2. **Statement 1: Measure of the diagonal of the square is given**:
The diagonal \( d \) of a square can be related to the side \( s \) using the formula:
\[ d = s\sqrt{2} \]
From this, we can derive the side length:
\[ s = \frac{d}{\sqrt{2}} \]
Once we have the side length, we can calculate the area:
\[ A = \left(\frac{d}{\sqrt{2}}\right)^2 = \frac{d^2}{2} \]
Thus, this statement is sufficient to find the area of the square.

3. **Statement 2: Measure of one side of the square is given**:
If we know the length of one side \( s \), we can directly calculate the area using the formula:
\[ A = s^2 \]
Therefore, this statement is also sufficient to find the area of the square.

4. **Statement 3: Perimeter of the square is given**:
The perimeter \( P \) of a square is given by:
\[ P = 4s \]
From this, we can find the side length:
\[ s = \frac{P}{4} \]
We can then calculate the area:
\[ A = s^2 = \left(\frac{P}{4}\right)^2 = \frac{P^2}{16} \]
Thus, this statement is also sufficient to find the area of the square.

### Conclusion:
All three statements provide sufficient information to calculate the area of the square. Therefore, the answer is that all statements are necessary to answer the question.