Answer:
970. 08 [tex]ft^2[/tex]
Step-by-step explanation:
The rose garden is made up of 2 shapes: rectangle and a half-circle.
1. We start by finding the area of the rectangle...
- [tex]31*24[/tex]
- We get 744 [tex]ft^2[/tex]
2. Then find the area of the half-circle
- The area of a circle is [tex]\pi r^2[/tex]
- We need to divide it by half since we only have half the area [tex]\frac{\pi r^2}{2}[/tex]
- The question only gives us the diameter (24), to find the radius we divide by 2 to get 12
- Now plug 12 for r [tex]\frac{\pi(12^2)}{2}[/tex]
- Plug 3.14 for [tex]\pi[/tex], [tex]\frac{3.14(12^2)}{2}[/tex]
- Compute: 226.08 [tex]ft^2[/tex]
3. Add the areas together
- [tex]744 + 266.08[/tex]
- Finally, we have 970.08 [tex]ft^2[/tex]
