The farm is rectangular, it has an area of 1/2 miles² and we know its length is 1/3mile.
To determine the width of the farm you have to use the formula of the Area of a rectangle.
The area of a rectangle is calculated by multiplying its length and width
[tex]A=wl[/tex]From this formula you can calculate the width of the rectangle by dividing the area by the length:
[tex]\frac{A}{l}=w[/tex]For A= 1/2 and l=1/3
[tex]\begin{gathered} \frac{\frac{1}{2}}{\frac{1}{3}}=w \\ \frac{1}{2}\cdot3=w \\ w=\frac{3}{2} \end{gathered}[/tex]The width of the farm is 3/2 miles