The number of trees in each row of a garden is equal to the total number of rows in the garden. After 111 trees have been uprooted in a storm, their remain 10914 trees in the garden. The number of rows of trees in the garden is

Options

A. 100
B. 105
C. 115
D. 125

Answer

To solve the problem, let's denote the number of rows in the garden as \( r \). According to the problem, the number of trees in each row is also \( r \). Therefore, the total number of trees in the garden can be expressed as:

\[ \text{Total trees} = r \times r = r^2 \]

After 111 trees have been uprooted, the remaining number of trees in the garden is given as 10914. Thus, we can write the equation:

\[ r^2 - 111 = 10914 \]

Now, let's solve for \( r^2 \):

1. Add 111 to both sides of the equation:

\[ r^2 = 10914 + 111 \]

2. Calculate the right side:

\[ r^2 = 11025 \]

3. Now, we need to find \( r \) by taking the square root of both sides:

\[ r = \sqrt{11025} \]

4. Calculate the square root:

\[ r = 105 \]

Thus, the number of rows of trees in the garden is \( \boxed{105} \).