/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 1 A student sees a newspaper ad fo... [FREE SOLUTION] | 91Ó°ÊÓ

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A student sees a newspaper ad for an apartment that has 1330 square feet \(\left(\mathrm{ft}^{2}\right)\) of floor space. How many square meters of area are there?

Short Answer

Expert verified
The apartment has approximately 123.65 square meters of area.

Step by step solution

01

Identify Conversion Factor

To convert square feet to square meters, we need to know the conversion factor. 1 square meter is approximately 10.764 square feet.
02

Set Up the Conversion Equation

We have 1330 square feet and we want to convert this into square meters using the conversion factor identified in Step 1. The equation can be set up as follows: \[\text{squared meters} = \frac{\text{squared feet}}{\text{conversion factor}}\] Thus, it becomes \[\text{squared meters} = \frac{1330}{10.764}\]
03

Calculate the Result

Now, perform the division to convert square feet to square meters. \[\text{squared meters} = \frac{1330}{10.764} \approx 123.65\]The area of the apartment in square meters is approximately 123.65.

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Key Concepts

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

Square Feet to Square Meters
When you're measuring the area of a space in different units, it's crucial to understand how to convert between those units. Square feet, abbreviated as ft², are commonly used in the United States to measure areas like houses or plots of land. However, if you're in a country that uses the metric system, or if you're dealing with international standards, you might need to convert square feet to square meters. A square foot is literally a square that is one foot long on each side, whereas a square meter is a square that is one meter long on each side.
To convert square feet (ft²) to square meters (m²), you use a specific numeric relationship known as a conversion factor. This involves multiplying or dividing by a number that allows you to switch units. Knowing how to perform this conversion ensures that you can understand and communicate measurements in different systems effectively.
Conversion Factors
Conversion factors are important tools in both math and science. They allow us to change a measurement from one unit to another with ease and accuracy. In our context, when converting area from square feet to square meters, the conversion factor used is approximately 10.764. This means that 1 square meter is equivalent to 10.764 square feet.
Utilizing conversion factors properly requires setting up a ratio or equation that comes from the conversion factor. In our example, to find out how many square meters are in 1330 square feet, you divide the number by the conversion factor:
  • Set up your equation: squared meters = squared feet / conversion factor
  • Perform the division: squared meters = 1330 / 10.764
By carefully applying the conversion factor, we ensure measurements are accurate and comprehendible in different unit systems.
Area Measurement
Area measurement is the process of determining the amount of surface a flat shape occupies. It is a fundamental aspect of geometry and has practical applications in fields such as architecture, engineering, and real estate. Area is expressed in square units, which can vary depending on the system you are using - for instance, square feet or square meters.
When dealing with area measurements, it's important to be consistent with your units. This consistency allows you to make accurate and meaningful comparisons. For example, in real estate, knowing the area in square meters can be key when comparing properties globally or meeting specific legal standards.
Understanding and being able to switch between different units of area measurement is an invaluable skill, especially if you work or plan to work in professions that commonly require this knowledge. Keeping a clear mental picture of what each unit represents helps in interpreting and applying the measurements appropriately in real-world situations.

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Most popular questions from this chapter

A highway is to be built between two towns, one of which lies \(35.0 \mathrm{km}\) south and \(72.0 \mathrm{km}\) west of the other. What is the shortest length of highway that can be built between the two towns, and at what angle would this highway be directed with respect to due west?

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