`(7.5xx7.5+37.5+2.5xx2.5)` is equal to :

Options

A. `100`
B. `80`
C. `60`
D. `30`

Answer

To solve the expression \( (7.5 \times 7.5 + 37.5 + 2.5 \times 2.5) \), we can follow these steps:

### Step 1: Rewrite the expression
We can rewrite the expression as:
\[ 7.5^2 + 37.5 + 2.5^2 \]

### Step 2: Calculate \( 7.5^2 \)
Calculating \( 7.5^2 \):
\[ 7.5 \times 7.5 = 56.25 \]

### Step 3: Calculate \( 2.5^2 \)
Calculating \( 2.5^2 \):
\[ 2.5 \times 2.5 = 6.25 \]

### Step 4: Substitute the values back into the expression
Now substitute the calculated values back into the expression:
\[ 56.25 + 37.5 + 6.25 \]

### Step 5: Simplify the expression
Now, we can add these values together:
1. First, add \( 56.25 + 37.5 \):
\[ 56.25 + 37.5 = 93.75 \]
2. Then add \( 6.25 \):
\[ 93.75 + 6.25 = 100 \]

### Final Answer
Thus, the value of the expression \( (7.5 \times 7.5 + 37.5 + 2.5 \times 2.5) \) is:
\[ \boxed{100} \]