Sure, let's solve it step-by-step:
1. Understanding the Problem:
- We are given a parallelogram with a base of 8 cm and a height of 12 cm.
- We need to find the area of the parallelogram in square meters (m²).
2. Formula for the Area of a Parallelogram:
- The area [tex]\( A \)[/tex] of a parallelogram is given by the formula:
[tex]\[
A = \text{base} \times \text{height}
\][/tex]
3. Calculate the Area in Square Centimeters (cm²):
- Given:
[tex]\[
\text{base} = 8 \, \text{cm}, \quad \text{height} = 12 \, \text{cm}
\][/tex]
- Plugging in the values:
[tex]\[
A_{\text{cm}^2} = 8 \, \text{cm} \times 12 \, \text{cm} = 96 \, \text{cm}^2
\][/tex]
4. Convert the Area to Square Meters (m²):
- We know that [tex]\( 1 \, \text{m}^2 = 10,000 \, \text{cm}^2 \)[/tex].
- To convert the area from square centimeters to square meters, we divide by 10,000:
[tex]\[
A_{\text{m}^2} = \frac{96 \, \text{cm}^2}{10,000} = 0.0096 \, \text{m}^2
\][/tex]
Therefore, the area of the parallelogram is [tex]\( 0.0096 \, \text{m}^2 \)[/tex].
