The two adjacent sides of parallelogram are 25 cm and 40 cm respectively . The altitude drawn on the longer side is 18 cm, then the area of the parallelogram is :

Options

A. `450 cm^(2) `
B. `720 cm^(2) `
C. `500 cm^(2) `
D. none of these

Answer

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

### Step 1: Identify the base and height
In this problem, we have a parallelogram with two adjacent sides measuring 25 cm and 40 cm. The longer side (base) is 40 cm, and the altitude (height) drawn to this base is 18 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
Here, the base is 40 cm and the height is 18 cm. Substituting these values into the formula gives:
\[ A = 40 \, \text{cm} \times 18 \, \text{cm} \]

### Step 4: Calculate the area
Now, we perform the multiplication:
\[ A = 720 \, \text{cm}^2 \]

### Conclusion
Thus, the area of the parallelogram is \( 720 \, \text{cm}^2 \).

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