First consider that the formula for the area of a rectangle is given by:
[tex]A=w\cdot l[/tex]where w is the width (western side) and l is the length of the rectangle (northern side).
In this case, you have:
A = 9/32
w = 3/4
Solve the given formula for l and replace the rest of the parameters, as follow:
[tex]l=\frac{A}{w}=\frac{\frac{9}{32}}{\frac{3}{4}}[/tex]Divide the previous fractions as follow:
[tex]\frac{\frac{9}{32}}{\frac{3}{4}}=\frac{9\cdot4}{32\cdot3}=\frac{36}{96}[/tex]and simplify:
[tex]\frac{36}{96}=\frac{18}{48}=\frac{9}{24}=\frac{3}{8}[/tex]Hence, the northern side of the rectangle has a length of 3/8 mile
