Answer:
[tex]\frac{8}{25}[/tex] square miles
Step-by-step explanation:
The relationship between the side length (let it be s) of a square and its diagonal (let it be d) is given by:
[tex]s=\frac{d}{\sqrt{2} }[/tex]
Since d is given as 4/5, we solve for s:
[tex]s=\frac{d}{\sqrt{2} }\\s=\frac{\frac{4}{5}}{\sqrt{2} }\\s=\frac{4}{5\sqrt{2} }[/tex]
NOW, area of square is s^2 where s is the side length.
Area = [tex]s^2=(\frac{4}{5\sqrt{2} })^2=\frac{16}{50}=\frac{8}{25}[/tex]
