/*! 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 area is approximately 123.59 square meters.

Step by step solution

01

Understand the Problem

The student needs to convert the apartment's area from square feet to square meters. The given area is 1330 square feet.
02

Conversion Factor

Recognize that 1 square foot is equivalent to 0.092903 square meters. This conversion factor will be used to change the units from square feet to square meters.
03

Set up the Conversion Equation

To find the area in square meters, multiply the given area of 1330 square feet by the conversion factor 0.092903 square meters per square foot. The equation is: \[ \text{Area in square meters} = 1330 \times 0.092903 \].
04

Calculate the Area in Square Meters

Perform the multiplication: \[ 1330 \times 0.092903 = 123.59339 \]. Thus, the area is approximately 123.59 square meters.

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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 it comes to measuring area, especially in real estate, understanding units is crucial. One common task is converting between square feet and square meters. Square feet, abbreviated as \( ext{ft}^2 \), is a unit commonly used in the United States to describe large areas, such as the size of an apartment or a house. In parts of the world where the metric system prevails, such as Europe and many other regions, square meters, or \( ext{m}^2 \), are more commonly used.
To convert from square feet to square meters, you simply need to know the conversion factor, which allows you to multiply the area measured in square feet by a specific number to get the same area in square meters.
Conversion Factor
The key to any unit conversion, including converting square feet to square meters, is understanding and using the conversion factor. A conversion factor is a ratio or simple value used to change the units of a measurement without altering its amount. For area conversion:
  • The conversion factor from square feet to square meters is 0.092903.
  • This means that 1 square foot is equal to 0.092903 square meters.
To use the conversion factor, multiply the area measurement in square feet by 0.092903. This will convert the units to square meters, providing a more universally understood measurement of the area. Ensuring all units are consistently converted is essential for accurate calculations.
Area Calculation
Calculating the area involves using the conversion factor effectively to change from square feet to square meters. Suppose you have an area measured as 1330 square feet and want to convert it to square meters. Here’s a simple guide:
  • Start with the known value: 1330 square feet.
  • Apply the conversion factor by multiplying: \( 1330 \times 0.092903 \).
  • The result is \( 123.59339 \) square meters.
Rounding is often useful for easier communication of the measurement, so \( 123.59339 \) can be approximated to \( 123.59 \) square meters. This calculation process lets you understand the reasoning behind the conversion and ensures you obtain precise results.

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