Answer:
The width of the rectangle parking lot is [tex]w=\frac{8}{3}[/tex] miles
Step-by-step explanation:
Given that area of a rectangular parking lot is [tex]\frac{2}{3}[/tex] square miles
and length of the parking lot is [tex]\frac{1}{4}[/tex] of a mile.
It can written as [tex]A=\frac{2}{3}[/tex] square miles and [tex]l=\frac{1}{4}[/tex] miles
To find the width of the rectangular parking lot :
Area of rectangle A=lw square units
From the above equation we can write [tex]w=\frac{A}{l}[/tex]
Now substitute the values in the above equation we get
[tex]w=\frac{\frac{2}{3}}{\frac{1}{4}}[/tex]
[tex]=\frac{2}{3}\times \frac{4}{1}[/tex]
[tex]=\frac{8}{3}[/tex]
Therefore [tex]w=\frac{8}{3}[/tex]
Therefore the width of the rectangle parking lot is [tex]w=\frac{8}{3}[/tex] miles