To calculate the area of the parallelogram with a base of 3.3 hectometers (hm) and a height of 200 meters (m), let's follow the steps systematically.
### Step 1: Understand the Units
- The base is given in hectometers (hm).
- The height is given in meters (m).
### Step 2: Convert the Base to Meters
- 1 hectometer (hm) is equal to 100 meters (m).
- Therefore, to convert the base from hectometers to meters, we multiply by 100.
[tex]\[
\text{Base in meters} = 3.3 \, \text{hm} \times 100 = 330 \, \text{m}
\][/tex]
### Step 3: Calculate the Area
- The formula for the area of a parallelogram is:
[tex]\[
\text{Area} = \text{Base} \times \text{Height}
\][/tex]
### Step 4: Substitute the Values
- Now, let's substitute the base (in meters) and the height into the formula:
[tex]\[
\text{Area} = 330 \, \text{m} \times 200 \, \text{m} = 66000 \, \text{m}^2
\][/tex]
### Step 5: Conclusion
- The area of the parallelogram is [tex]\(66000 \, \text{m}^2\)[/tex].
So, the detailed calculation shows that the base converted to meters is [tex]\(330 \, \text{m}\)[/tex], and the area of the parallelogram is [tex]\(66000 \, \text{square meters}\)[/tex].
