The area of six squares of same size is 294 Then, the perimeter of one square will be

Options

A. 28 cm
B. 28 `cm^2`
C. 196 cm
D. 196 `cm^2`

Explanation

To solve the problem step by step, we need to find the perimeter of one square given that the area of six squares of the same size is 294.

### Step-by-Step Solution:

1. **Understand the Area of One Square:**
The total area of six squares is given as 294. Therefore, the area of one square can be calculated by dividing the total area by the number of squares:
\[ \text{Area of one square} = \frac{294}{6} \]

2. **Calculate the Area of One Square:**
\[ \text{Area of one square} = \frac{294}{6} = 49 \text{ cm}^2 \]

3. **Relate Area to Side Length:**
The area of a square is given by the formula:
\[ \text{Area} = a^2 \]
where \( a \) is the length of one side of the square. We can set up the equation:
\[ a^2 = 49 \]

4. **Find the Side Length:**
To find \( a \), we take the square root of both sides:
\[ a = \sqrt{49} = 7 \text{ cm} \]

5. **Calculate the Perimeter of One Square:**
The perimeter \( P \) of a square is given by the formula:
\[ P = 4a \]
Substituting the value of \( a \):
\[ P = 4 \times 7 = 28 \text{ cm} \]

### Final Answer:
The perimeter of one square is **28 cm**.