`(3584 div 32)-11=sqrt(?)`

Options

A. 10021
B. 12001
C. 10221
D. 10201

Explanation

To solve the equation `(3584 div 32) - 11 = sqrt(?)`, we will follow these steps:

1. **Calculate 3584 divided by 32**:
\[ 3584 \div 32 \]
To perform the division, we can simplify it:
- 32 goes into 3584. We can divide step by step:
- 32 into 35 goes 1 time (1 * 32 = 32), remainder is 3.
- Bring down the next digit (8), making it 38. 32 goes into 38 once (1 * 32 = 32), remainder is 6.
- Bring down the next digit (4), making it 64. 32 goes into 64 twice (2 * 32 = 64), remainder is 0.
\[ 3584 \div 32 = 112 \]

2. **Subtract 11 from the result**:
\[ 112 - 11 \]
Performing the subtraction:
\[ 112 - 11 = 101 \]

3. **Set the result equal to the square root**:
\[ \sqrt{x} = 101 \]

4. **Square both sides to solve for x**:
\[ x = 101^2 \]
Now calculate \(101^2\):
\[ 101^2 = 10201 \]

Thus, the value of the question mark is:
\[ \text{?} = 10201 \]

### Summary of Steps:
1. Divide 3584 by 32 to get 112.
2. Subtract 11 from 112 to get 101.
3. Set \(\sqrt{x} = 101\).
4. Square both sides to find \(x = 10201\).