Answer:
The answer is "1.875 in of rain"
Explanation:
The reservoir size is negligible. It's just a problem how often rain is required for 20000 acre-feet across an area of 200 square miles.
Calculating the area in acre:
[tex]= 200 \ mi^{2} \times 640 \frac{acre}{mi^2}\\\\= 128,000 \ acres[/tex]
calculating the value of the rainfall in feet:
[tex]= \frac{20,000 \ acre\-feet}{128,000 \ acres}\\\\= 0.15625 \ ft[/tex]
calculating the value of Rainfall in inches:
[tex]= 0.15625 \ ft \times 12 \frac{in}{ft}\\\\= 1.875 \ \text{in of rain}[/tex]