/*! 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 \(\left(f t^{2}\right)\) of floor space. How many square meters of area are there?

Short Answer

Expert verified
1330 square feet is approximately 123.65 square meters.

Step by step solution

01

Understanding the Unit Conversion

First, we need to understand the relationship between square feet and square meters. We know that 1 square meter is approximately equal to 10.764 square feet.
02

Setting Up the Equation

To find the equivalent area in square meters, set up the equation: \[ \text{Area in square meters} = \frac{\text{Area in square feet}}{10.764} \] Given that the area is 1330 square feet, substitute this into the equation.
03

Perform the Calculation

Substitute the values into the equation: \[ \text{Area in square meters} = \frac{1330}{10.764} \] Divide 1330 by 10.764 to find the result.
04

Final Result

Calculate the result: \[ \text{Area in square meters} \approx 123.65 \]So, the floor space 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
Unit conversion is an essential skill in many fields, especially when dealing with area measurements. When converting units of area, such as square feet to square meters, you are dealing with squared measurements, not linear ones. This means each unit of length is squared, which affects the conversion factor.
To convert square feet to square meters, the key is remembering the conversion factor: 1 square meter is approximately 10.764 square feet. This relationship allows you to translate any area given in square feet to square meters by dividing the number of square feet by 10.764.
For example, if you have a space that is 1330 square feet, the conversion to square meters uses the formula:
\[ \text{Area in square meters} = \frac{\text{Area in square feet}}{10.764} \]
This calculation helps in comparing sizes and areas using different measurement systems, a useful tool when dealing with international real estate, construction, or travel planning.
area conversion
Converting area units is a practical and common necessity. Whether you are looking at real estate, architecture, or any spatial project, understanding how to convert between units is crucial. Area conversion is the process of changing one unit of area measurement to another.
Always start by identifying the unit you're converting from and the unit you're converting to. In this exercise, you are converting from square feet to square meters, which involves adjusting for the fact that you are working with a square measurement system.
  • Identify the conversion factor. For square feet to square meters, it's 1 square meter = 10.764 square feet.
  • Set up the conversion equation. Divide the given area in square feet by the conversion factor.
  • Perform the calculation to obtain the area in square meters.
The method remains the same with different units, but it's important to remember that the conversion factor will differ. It enables you to work with your preferred measuring system and still communicate effectively across different metric standards.
mathematical calculation
The calculation of area conversion relies heavily on basic arithmetic and an understanding of proportion relationships. When you have a situation like converting 1330 square feet to square meters, you're using mathematical tools to find an equivalent measurement in a different unit system.
Start with the given area in square feet. Here, it's 1330 square feet. Then, use the conversion factor, 10.764, dividing the area by this number. The equation becomes:
\[ \text{Area in square meters} = \frac{1330}{10.764} \]
Solve this equation by performing the division, leading to an approximate result. In our example, the outcome is approximately 123.65 square meters.
This calculation process is straightforward, but it underscores the importance of precision, particularly when estimating material costs, planning space, or aligning projects with local measurement standards.

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Most popular questions from this chapter

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