Answer :
Answer:
[tex]200-4\pi \text{ m}^2[/tex]
[tex]\approx\ 187.4\text{ m}^2[/tex]
Step-by-step explanation:
We have a rectangle swimming pool with a jacuzzi within it. We are solving for the area of the pool not occupied by the jacuzzi. This is represented in equation form by:
[tex]A_{\text{pool}} = A_{\text{rect}} - A_{\text{jacuzzi}}[/tex]
We can find the areas using the formulas:
- [tex]A_{\text{rect}} = l \cdot w[/tex]
- [tex]A_{\text{circle}} = \pi r^2[/tex]
Plugging these into the above equation along with the given values, we get:
[tex]A_{\text{pool}} = l \cdot w - \pi r^2[/tex]
- [tex]l = 20[/tex]
- [tex]w=10[/tex]
- [tex]r\ =\ d/2\ =\ 4/2\ =\ 2[/tex]
↓↓↓
[tex]A_{\text{pool}} = 20 \cdot 10 - \pi (2)^2[/tex]
[tex]A_{\text{pool}} = 200 - \pi(4)[/tex]
[tex]\boxed{A_{\text{pool}} = 200-4\pi \text{ m}^2 \ \approx\ 187.4\text{ m}^2 }[/tex]
So, the area of the pool not occupied by the jacuzzi is approximately 187.4 m².