The length and breadth of a metal sheet are 3-124 m and 3.002 m respectively. The area of this sheet upto four correct significant figure is

Options

A. `9.37 m^(2)`
B. `9.378 m^(2)`
C. `9.3782 m^(2)`
D. `9.378248 m^(2)`

Explanation

To find the area of the metal sheet with given dimensions, we will follow these steps:

### Step 1: Identify the dimensions
The length (L) of the metal sheet is given as 3.124 m and the breadth (B) is given as 3.002 m.

### Step 2: Calculate the area
The area (A) of a rectangle is calculated using the formula:
\[ A = L \times B \]

Substituting the values:
\[ A = 3.124 \, \text{m} \times 3.002 \, \text{m} \]

### Step 3: Perform the multiplication
Calculating the multiplication:
\[ A = 3.124 \times 3.002 = 9.378248 \, \text{m}^2 \]

### Step 4: Determine significant figures
Now, we need to round the result to four significant figures. The number 3.124 has four significant figures, and 3.002 also has four significant figures. Therefore, the result should be rounded to four significant figures.

The area calculated is:
\[ 9.378248 \, \text{m}^2 \]

Rounding this to four significant figures gives:
\[ A = 9.378 \, \text{m}^2 \]

### Final Answer
The area of the metal sheet up to four correct significant figures is:
\[ \boxed{9.378 \, \text{m}^2} \]

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