The distance of a 24 cm long side of a parallelogram from the opposite side is 22 cm. The area of the prallelogram is :

Options

A. `264 cm^(2) `
B. `246 cm^(2) `
C. `460 cm^(2) `
D. `528 cm^(2) `

Answer

To find the area of the parallelogram, we can follow these steps:

### Step 1: Identify the base and height
The problem states that one side of the parallelogram is 24 cm long, which we will consider as the base (b). The distance from this base to the opposite side, which is the height (h), is given as 22 cm.

- Base (b) = 24 cm
- Height (h) = 22 cm

### Step 2: Use the formula for the area of a parallelogram
The formula for the area (A) of a parallelogram is given by:
\[ A = \text{Base} \times \text{Height} \]

### Step 3: Substitute the values into the formula
Now we can substitute the values of the base and height into the formula:
\[ A = 24 \, \text{cm} \times 22 \, \text{cm} \]

### Step 4: Calculate the area
Now we perform the multiplication:
\[ A = 24 \times 22 = 528 \, \text{cm}^2 \]

### Conclusion
The area of the parallelogram is 528 cm².

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