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Chapter 2: Problem 15

The United States consists of 2271 million acres of land. Approximately \(29 \%\) of this land is federally owned. Find the number of acres that are not federally owned. (Source: U.S. General Services Administration)

Short Answer

Expert verified
There are 1612.41 million acres that are not federally owned.

Step by step solution

01

Calculate Federally Owned Land

First, we need to find out how many acres of land are federally owned. We do this by calculating 29% of the total 2271 million acres of land. The formula to find a percentage of a total is:\[ \text{Federally owned acres} = \frac{29}{100} \times 2271 \]Calculating this gives:\[ \text{Federally owned acres} = 0.29 \times 2271 = 658.59 \text{ million acres} \]
02

Subtract Federally Owned Acres from Total Acres

Next, we subtract the number of federally owned acres from the total number of acres to find how many acres are not federally owned.The formula is:\[ \text{Non-federally owned acres} = 2271 - 658.59 \]Calculating this gives:\[ \text{Non-federally owned acres} = 1612.41 \text{ million acres} \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Federally Owned Land
Federally owned land refers to land that is controlled and managed by the federal government of a country. In the United States, this includes national parks, wildlife refuges, and government facilities. Federally managed areas aim to preserve natural resources, support recreational activities, and protect wildlife.
Understanding the proportion of federally owned land is crucial for various analyses related to land management, environmental conservation, and urban planning. In the context of the U.S., knowing the percentage of federally owned land helps determine the available space for private, commercial, or state uses.
Federally owned land holds significant implications for policies and development, affecting industries like tourism and conservation efforts.
Acres Calculation
Calculating acres involves determining how much space or area a specific portion of land occupies. One acre is equivalent to 43,560 square feet, which is a standard unit of measurement used in the land and real estate sectors. In this exercise, understanding how to calculate the number of acres that are federally owned is important for precise land distribution statistics.
The formula to calculate a percentage of an area is:
  • Multiply the total area by the desired percentage
For example, to find out how many acres of land are federally owned from the total U.S. land, multiply 2271 million acres by 29%:\[ ext{Federally owned acres} = 0.29 imes 2271 = 658.59 ext{ million acres} \]
Such calculations are vital for accurate reporting and management of land resources, ensuring responsible land use and planning.
Step-by-Step Problem Solving
Step-by-step problem solving is a structured approach to tackle problems effectively by breaking them down into smaller, manageable parts. This method is beneficial for students and professionals alike, as it fosters clarity and precision in thinking.
In solving the exercise, we began by identifying the specific requirement, which was to determine how many acres are not federally owned. We started by calculating the percentage of total acres that are federally owned using the formula for percentage calculation:
  • Calculate 29% of 2271 million acres to find federally owned acreage.
Following this, we performed a simple subtraction:
  • Subtract the federally owned acres from the total acreage to find non-federally owned land.
The systematic approach ensures each part of the problem is addressed, leading to a clear and confirmed answer:\[ ext{Non-federally owned acres} = 2271 - 658.59 = 1612.41 ext{ million acres} \]
Breaking down problems step-by-step is an effective technique for clearer understanding and accurate solutions.

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