Plug the values into the area formula for a rectangle.
\(A=lw\)
\(\frac{25}{54}=\frac59w\)
Divide by 5/9. (Dividing by a fraction is the same as multiplying by its reciprocal, or flipped version of the fraction, 9/5)
\(\frac{225}{270}=w\)
Simplify.
\(\frac{225}{270}=\frac{45}{54}=\boxed{\frac56\ mi}\)
