Question

An investor just purchased a rectangular 2-acre retail lot for $250 a frontage foot. If she paid $100,000 total, what was the depth of the lot?
a. 400’ b. 250 c. 871’ d. 218’

Answer 1

Answer:

$Depth = \frac{Area}{# frontage feet}= \frac{87120 ft^2}{400}=217.8 \approx 218$

So for this case the best answer would be:

d. 218’

Step-by-step explanation:

Previous concepts

Foot front : "Is a foot measured along the front of a piece of property".

Solution to the problem

For this case we need to begin finding the number of frontage feet, with the following formula:

$Frontage fronts=\frac{Amount paid}{Unitary price}$

And for this case if we replace the values given we got:

$Frontage fronts=\frac{100000}{250}=400 fromtage foot$

Now we need to convert the area to square feet. And we know that:

$1 acre= 43560 ft^2$

And converting we got: $2 acre *\frac{43560 ft^2}{1 acre}=87120 ft^2$

Now we can divide the total area by the total of frontage feer and we got:

$Depth = \frac{Area}{# frontage feet}= \frac{87120 ft^2}{400}=217.8 \approx 218$

So for this case the best answer would be:

d. 218’