Answer:
The length of the lot is [tex]105.6\ ft[/tex]
Step-by-step explanation:
Remember that
[tex]1\ acre=43,560\ ft^{2}[/tex]
In this problem the area of the lot is equal to
[tex]\frac{2}{3} (43,560)=29,040\ ft^{2}[/tex]
Let
x-----> the length of the lot
y ----> the deep of the lot
The area of the lot is
[tex]A=xy[/tex]
we have
[tex]A=29,040\ ft^{2}[/tex]
[tex]y=275\ ft[/tex]
substitute and solve for x
[tex]29,040=x(275)[/tex]
[tex]x=29,040/(275)=105.6\ ft[/tex]
