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Chapter 8: Problem 20

Complete. 4 acres \(=\)______\(\mathrm{ft}^{2}\)

Short Answer

Expert verified
4 acres = 174,240 ft\textsuperscript{2}

Step by step solution

01

Understand the Relationship

Recall the conversion factor between acres and square feet. 1 acre is equal to 43,560 square feet.
02

Set Up the Conversion

To find the number of square feet in 4 acres, set up the following equation:\(\text{4 acres} \times \text{43,560 ft}^2/\text{acre}\)
03

Perform the Multiplication

Multiply the number of acres by the number of square feet per acre:\(\text{4} \times \text{43,560} = 174,240 \text{ ft}^2\)

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Key Concepts

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

Unit Conversion
Unit conversion is a method used to convert one unit of measurement to another. This is important because different systems of measurement are used in different contexts.
To convert acres to square feet, you need to know the conversion factor between these units.
The conversion factor tells you how many square feet are in one acre.
In our case, we know that 1 acre equals 43,560 square feet.
  • Remembering conversion factors is easier when you practice more examples.
  • Always write down the conversion factor before performing any calculations.
Area Measurement
Area measurement refers to determining the size of a surface. Units like square feet and acres are used to measure area. When you measure land, it's often done in acres. When dealing with buildings or smaller plots, you might use square feet.
  • Area is always measured in square units, regardless of the shape of the surface.
  • Knowing how to convert between different units of area, like acres and square feet, is very practical.
Multiplication
Multiplication is one of the basic arithmetic operations that allows you to scale one number by another. In unit conversion, you often need to multiply a number by a conversion factor.
In our problem, we need to find the number of square feet in 4 acres by performing the multiplication \(\text{4 acres} \times \text{43,560 square feet per acre}\).
Multiplying 4 by 43,560, gives us 174,240 square feet.
  • It鈥檚 a good idea to double-check your multiplication to ensure accuracy.
  • Use a calculator if you are unsure about your multiplication skills.

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