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A developer owns 100 acres in Charlotte County, FL, and wants to create 20 lots, each lot being 21,780 square feet. How many acres would he need to allocate for this project?

Answer :

We start by calculating the total square footage needed for all 20 lots. Each lot is given to be [tex]$21\,780$[/tex] square feet. Thus, the total square footage is

[tex]$$
\text{Total area} = 20 \times 21\,780 = 435\,600 \text{ square feet}.
$$[/tex]

Next, we need to convert the total area in square feet to acres. Since there are [tex]$43\,560$[/tex] square feet in one acre, the number of acres required is

[tex]$$
\text{Acres needed} = \frac{435\,600}{43\,560} = 10 \text{ acres}.
$$[/tex]

Therefore, the developer would need to allocate [tex]$\boxed{10}$[/tex] acres for this project.

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