To find the area of a parallelogram-shaped swimming pool, you need the base (length) and the height (which can be interpreted as the width in this context). The volume, however, incorporates depth as well. But first, let's address the area of the base.
Area of the Parallelogram:
The area \( A \) of a parallelogram can be calculated using the formula:
\[ A = \text{base} \times \text{height} \]
Here, we can consider:
- Base \( (b) = 8 , \text{cm} \)
- Height \( (h) = 7 , \text{cm} \)
Using the formula: \[ A = 8 , \text{cm} \times 7 , \text{cm} = 56 , \text{cm}^2 \]
Volume of the Pool:
Since the pool has depth, if you're looking to find the volume of the pool instead of just the area, you calculate it as follows:
\[ \text{Volume} = \text{Area of the base} \times \text{Depth} \]
So:
\[ \text{Volume} = A \times \text{Depth} \] \[ \text{Volume} = 56 , \text{cm}^2 \times 4 , \text{cm} = 224 , \text{cm}^3 \]
Summary:
- The area of the base of the pool (parallelogram) is \( 56 , \text{cm}^2 \).
- The volume of the pool is \( 224 , \text{cm}^3 \).
If you were specifically interested in the area of the base only, the answer is \( 56 , \text{cm}^2 \). If you meant volume, then it is \( 224 , \text{cm}^3 \).