What should come in place of the question mark (?) in the following questions:
`sqrt?` % of 160 = 54 + 2

Options

A. 1225
B. 400
C. 2000
D. `sqrt20`

Answer

To solve the equation \( \sqrt{?} \% \text{ of } 160 = 54 + 2 \), we will follow these steps:

### Step 1: Simplify the right side of the equation
First, we simplify the right side:
\[ 54 + 2 = 56 \]
So, the equation now reads:
\[ \sqrt{?} \% \text{ of } 160 = 56 \]

### Step 2: Convert percentage to a fraction
Next, we convert the percentage to a fraction. The expression \( \sqrt{?} \% \) can be written as:
\[ \frac{\sqrt{?}}{100} \]
Thus, we can rewrite the equation as:
\[ \frac{\sqrt{?}}{100} \times 160 = 56 \]

### Step 3: Multiply both sides by 100
To eliminate the fraction, we multiply both sides of the equation by 100:
\[ \sqrt{?} \times 160 = 56 \times 100 \]
Calculating the right side:
\[ 56 \times 100 = 5600 \]
So, the equation now is:
\[ \sqrt{?} \times 160 = 5600 \]

### Step 4: Divide both sides by 160
Next, we divide both sides by 160 to isolate \( \sqrt{?} \):
\[ \sqrt{?} = \frac{5600}{160} \]
Calculating the right side:
\[ \frac{5600}{160} = 35 \]
So, we have:
\[ \sqrt{?} = 35 \]

### Step 5: Square both sides
To find the value of \( ? \), we square both sides:
\[ ? = 35^2 \]
Calculating \( 35^2 \):
\[ 35^2 = 1225 \]

### Final Answer
Thus, the value that should come in place of the question mark is:
\[ ? = 1225 \]

---