What approximate value should come in place of question mark(?) in the following questions?
`84.85xx12.02+sqrt48.88xx16.06=283xxsqrt?`

Options

A. 5
B. 9
C. 10
D. 16

Answer

To solve the equation \( 84.85 \times 12.02 + \sqrt{48.88} \times 16.06 = 283 \times \sqrt{?} \), we will follow these steps:

### Step 1: Approximate the values
First, we approximate the values in the equation:
- \( 84.85 \approx 85 \)
- \( 12.02 \approx 12 \)
- \( 48.88 \approx 49 \)
- \( 16.06 \approx 16 \)

### Step 2: Substitute the approximated values
Now substitute these approximated values into the equation:
\[ 85 \times 12 + \sqrt{49} \times 16 \]

### Step 3: Calculate the products
Calculate \( 85 \times 12 \):
\[ 85 \times 12 = 1020 \]

Calculate \( \sqrt{49} \):
\[ \sqrt{49} = 7 \]

Now calculate \( 7 \times 16 \):
\[ 7 \times 16 = 112 \]

### Step 4: Add the results
Now add the two results together:
\[ 1020 + 112 = 1132 \]

### Step 5: Set up the equation
Now we have:
\[ 1132 = 283 \times \sqrt{?} \]

### Step 6: Isolate \( \sqrt{?} \)
To isolate \( \sqrt{?} \), divide both sides by 283:
\[ \sqrt{?} = \frac{1132}{283} \]

### Step 7: Calculate the division
Now perform the division:
\[ \frac{1132}{283} \approx 4 \]

### Step 8: Square both sides
Now square both sides to find the value of \( ? \):
\[ ? = 4^2 = 16 \]

### Final Answer
Thus, the approximate value that should come in place of the question mark is:
\[ \boxed{16} \]