Directions for questions : Select the correct answer from the given options.
If `A = (d_1 d_2)/( 2), d_1 = 6 "cm", and d_2 = 8 "cm"`, then find the value of A (in `"cm"^2` ).

Options

A. 12
B. 18
C. 36
D. 24

Answer

To solve for the value of \( A \) using the formula \( A = \frac{d_1 \cdot d_2}{2} \), follow these steps:

### Step 1: Identify the values of \( d_1 \) and \( d_2 \)
- Given \( d_1 = 6 \, \text{cm} \)
- Given \( d_2 = 8 \, \text{cm} \)

### Step 2: Substitute the values into the formula
- Substitute \( d_1 \) and \( d_2 \) into the formula:
\[ A = \frac{d_1 \cdot d_2}{2} = \frac{6 \cdot 8}{2} \]

### Step 3: Calculate the product of \( d_1 \) and \( d_2 \)
- Calculate \( 6 \cdot 8 \):
\[ 6 \cdot 8 = 48 \]

### Step 4: Divide the product by 2
- Now divide the result by 2:
\[ A = \frac{48}{2} = 24 \]

### Step 5: State the final answer
- Therefore, the value of \( A \) is:
\[ A = 24 \, \text{cm}^2 \]