Answer: [tex]\frac{25}{2}\ \text{miles}[/tex]
Step-by-step explanation:
Given
A piece of land is 3 miles wide
It is [tex]4\ \frac{1}{6}[/tex] times as long as it is wide
Suppose width be b
So, length becomes [tex]\frac{24+1}{6}b[/tex]
Also, [tex]b=3\ \text{miles}[/tex]
[tex]\therefore \text{Length is }l=\dfrac{25}{6}\times 3\\\\\Rightarrow l=\dfrac{25}{2}\ \text{miles}[/tex]