The area of a square is `5.29 cm^(2)` The area of 7 such squares taking into account the significant figures is:

Options

A. `37 cm^(2)`
B. `37. 030n cm^(2)`
C. `37.03 cm^(2)`
D. `37.0 cm^(2)`

Answer

To solve the problem, we need to calculate the total area of 7 squares, each having an area of 5.29 cm², while considering significant figures.

### Step-by-Step Solution:

1. **Identify the Area of One Square**:
The area of one square is given as:
\[ A = 5.29 \, \text{cm}^2 \]

2. **Calculate the Total Area of 7 Squares**:
To find the total area of 7 such squares, we multiply the area of one square by 7:
\[ \text{Total Area} = 7 \times A = 7 \times 5.29 \, \text{cm}^2 \]

3. **Perform the Multiplication**:
Now, we calculate:
\[ 7 \times 5.29 = 37.03 \, \text{cm}^2 \]

4. **Consider Significant Figures**:
The area of one square (5.29 cm²) has three significant figures. Therefore, we need to express our final answer in three significant figures as well. The total area calculated (37.03 cm²) has four significant figures.

5. **Adjust the Final Answer**:
To express the total area in three significant figures, we round 37.03 cm² to:
\[ 37.0 \, \text{cm}^2 \]

### Final Answer:
The area of 7 such squares, taking into account significant figures, is:
\[ \boxed{37.0 \, \text{cm}^2} \]