`(9.5)^2` = ?

Options

A. 75
B. 90
C. 90.25
D. 110

Answer

To find the value of \( (9.5)^2 \), we can follow these steps:

### Step 1: Rewrite the number
We can express \( 9.5 \) as \( \frac{95}{10} \).

### Step 2: Square the fraction
Now, we can square \( 9.5 \):
\[ (9.5)^2 = \left(\frac{95}{10}\right)^2 \]

### Step 3: Apply the square to the fraction
Using the property of fractions, we square both the numerator and the denominator:
\[ \left(\frac{95}{10}\right)^2 = \frac{95^2}{10^2} \]

### Step 4: Calculate \( 95^2 \)
Now, we need to calculate \( 95^2 \):
\[ 95^2 = 9025 \]

### Step 5: Calculate \( 10^2 \)
Next, we calculate \( 10^2 \):
\[ 10^2 = 100 \]

### Step 6: Combine the results
Now we can combine the results from Step 4 and Step 5:
\[ (9.5)^2 = \frac{9025}{100} \]

### Step 7: Perform the division
Finally, we divide \( 9025 \) by \( 100 \):
\[ \frac{9025}{100} = 90.25 \]

### Final Answer
Thus, the value of \( (9.5)^2 \) is:
\[ \boxed{90.25} \]

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