One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram?

Options

A. `12.56 cm^(2)`
B. `14.56 cm^(2)`
C. `16.76 cm^(2)`
D. `22.56 cm^(2)`

Answer

To find the area of the parallelogram, we will use the formula for the area of a parallelogram, which is given by:

**Area = Base × Height**

### Step-by-Step Solution:

1. **Identify the base and height:**
- The base of the parallelogram is given as 8.06 cm.
- The height (perpendicular distance from the opposite side) is given as 2.08 cm.

2. **Substitute the values into the area formula:**
- Area = Base × Height
- Area = 8.06 cm × 2.08 cm

3. **Perform the multiplication:**
- Area = 8.06 × 2.08
- Area = 16.7648 cm²

4. **Round the result to two decimal places:**
- The approximate area of the parallelogram is 16.76 cm².

### Final Answer:
The approximate area of the parallelogram is **16.76 cm²**.

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