Answer:
[tex]25.1\ \text{inches}^2[/tex]
[tex]56.5\ \text{inches}^2[/tex]
[tex]69.7\ \text{inches}^2[/tex]
Step-by-step explanation:
The length of the pipe is given by the function
[tex]L=119.75\sqrt{A}[/tex]
where A is the area
[tex]A=(\dfrac{L}{119.75})^2[/tex]
For [tex]L=600\ \text{in}[/tex]
[tex]A=(\dfrac{600}{119.75})^2\\\Rightarrow A=25.1\ \text{inches}^2[/tex]
Area watered when L = 600 inches is [tex]25.1\ \text{inches}^2[/tex]
For [tex]L=900\ \text{in}[/tex]
[tex]A=(\dfrac{900}{119.75})^2\\\Rightarrow A=56.5\ \text{inches}^2[/tex]
Area watered when L = 900 inches is [tex]56.5\ \text{inches}^2[/tex]
For [tex]L=1000\ \text{in}[/tex]
[tex]A=(\dfrac{1000}{119.75})^2\\\Rightarrow A=69.7\ \text{inches}^2[/tex]
Area watered when L = 1000 inches is [tex]69.7\ \text{inches}^2[/tex]
