Find the approximate value of (?) in the following questions.
57.034% of 4499 - 12.97 `xx 4.99 = (?)^(2)`

Options

A. 35
B. 48
C. 42
D. 50

Answer

To find the approximate value of (?) in the equation:

\[ 57.034\% \text{ of } 4499 - 12.97 \times 4.99 = (?)^2 \]

we will follow these steps:

### Step 1: Approximate the values
- We can approximate \( 57.034\% \) as \( 57\% \).
- We can approximate \( 4499 \) as \( 4500 \).
- We can approximate \( 12.97 \) as \( 13 \).
- We can approximate \( 4.99 \) as \( 5 \).

So, the equation becomes:

\[ 57\% \text{ of } 4500 - 13 \times 5 = (?)^2 \]

### Step 2: Calculate \( 57\% \text{ of } 4500 \)
To find \( 57\% \text{ of } 4500 \):

\[ 57\% = \frac{57}{100} \times 4500 = \frac{57 \times 4500}{100} \]

Calculating \( 57 \times 4500 \):

\[ 57 \times 4500 = 256500 \]

Now divide by \( 100 \):

\[ \frac{256500}{100} = 2565 \]

### Step 3: Calculate \( 13 \times 5 \)
Now calculate \( 13 \times 5 \):

\[ 13 \times 5 = 65 \]

### Step 4: Substitute back into the equation
Now substitute these values back into the equation:

\[ 2565 - 65 = (?)^2 \]

### Step 5: Perform the subtraction
Now perform the subtraction:

\[ 2565 - 65 = 2500 \]

### Step 6: Solve for (?)
Now we have:

\[ (?)^2 = 2500 \]

To find \( ? \), take the square root of both sides:

\[ ? = \sqrt{2500} = 50 \]

### Conclusion
Thus, the approximate value of \( ? \) is:

\[ \boxed{50} \]