One of the National Academy of Engineering Grand Challenges for Engineering is Manage the Nitrogen Cycle. It is important to control the agricultural impact on the nitrogen cycle as engineers attempt to provide a sustainable food supply. To grow an experimental crop to test a new fertilizer, you create a small farm with the soil at a depth of $22$ inches $[$in$].$ A machine spreads $500$ kilograms $[$kg$]$ of soil at a rate of $4\mathrm{.}9$ gallons per second $[$gal$/$s$],$ and it took the machine $58$ minutes to spread all the soil. What is the area of your farm in units of square feet $f{t}^2?$