Question

A rectangular lot is 275 feet deep, and it contains 2\3 of an acre. what is the length of the lot

Answer 1

Answer:

The length of the lot is $105.6\ ft$

Step-by-step explanation:

Remember that

$1\ acre=43,560\ ft^{2}$

In this problem the area of the lot  is equal to

$\frac{2}{3} (43,560)=29,040\ ft^{2}$

Let

x-----> the length of the lot

y ----> the deep of the lot

The area of the lot is

$A=xy$

we have

$A=29,040\ ft^{2}$

$y=275\ ft$

substitute and solve for x

$29,040=x(275)$

$x=29,040/(275)=105.6\ ft$