What Is The Area Of A Rectangle With A Length Of 14.4 Inches And A Width That Is One-third Of The Length?A. 43.2 In. $ ^2 $ B. 51.84 In. $ ^2 $ C. 69.12 In. $ ^2 $ D. 103.68 In. $ ^2 $

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In mathematics, the area of a rectangle is a fundamental concept that is used to calculate the amount of space inside the rectangle. The area of a rectangle is calculated by multiplying its length by its width. In this article, we will explore how to calculate the area of a rectangle with a given length and width.

What is the Area of a Rectangle?

The area of a rectangle is calculated using the formula:

Area = Length x Width

This formula is a simple multiplication of the length and width of the rectangle. The length and width are measured in the same units, such as inches, feet, or meters.

Calculating the Area of a Rectangle with a Given Length and Width

In this problem, we are given a rectangle with a length of 14.4 inches and a width that is one-third of the length. To calculate the area of the rectangle, we need to first find the width.

Finding the Width of the Rectangle

The width of the rectangle is one-third of the length. To find the width, we can divide the length by 3.

Width = Length / 3 Width = 14.4 / 3 Width = 4.8 inches

Calculating the Area of the Rectangle

Now that we have the length and width of the rectangle, we can calculate the area using the formula:

Area = Length x Width Area = 14.4 x 4.8 Area = 69.12 in^2

Conclusion

In conclusion, the area of a rectangle with a length of 14.4 inches and a width that is one-third of the length is 69.12 in^2. This is calculated by first finding the width of the rectangle, which is one-third of the length, and then multiplying the length and width to get the area.

Answer

The correct answer is C. 69.12 in^2.

Additional Examples

Here are a few more examples of calculating the area of a rectangle:

  • A rectangle with a length of 10 inches and a width of 5 inches has an area of 50 in^2.
  • A rectangle with a length of 20 inches and a width of 3 inches has an area of 60 in^2.
  • A rectangle with a length of 15 inches and a width of 2 inches has an area of 30 in^2.

Tips and Tricks

Here are a few tips and tricks for calculating the area of a rectangle:

  • Make sure to multiply the length and width in the correct order.
  • Use a calculator to help with calculations.
  • Check your work by plugging in the values into the formula.

Common Mistakes

Here are a few common mistakes to avoid when calculating the area of a rectangle:

  • Forgetting to multiply the length and width.
  • Using the wrong units (e.g. inches instead of feet).
  • Not checking your work.

Real-World Applications

The area of a rectangle has many real-world applications, such as:

  • Calculating the area of a room or a piece of land.
  • Determining the amount of material needed for a project.
  • Calculating the cost of materials for a project.

Conclusion

In this article, we will answer some frequently asked questions about rectangle area calculation. Whether you are a student, a teacher, or a professional, these FAQs will help you understand the basics of rectangle area calculation.

Q: What is the formula for calculating the area of a rectangle?

A: The formula for calculating the area of a rectangle is:

Area = Length x Width

Q: What is the unit of measurement for the area of a rectangle?

A: The unit of measurement for the area of a rectangle is typically squared units, such as inches^2, feet^2, or meters^2.

Q: How do I calculate the area of a rectangle with a given length and width?

A: To calculate the area of a rectangle with a given length and width, simply multiply the length and width together.

Q: What if the width of the rectangle is not given? How do I find it?

A: If the width of the rectangle is not given, you can find it by dividing the length by the ratio of the width to the length.

Q: Can I use a calculator to calculate the area of a rectangle?

A: Yes, you can use a calculator to calculate the area of a rectangle. Simply enter the length and width into the calculator and multiply them together.

Q: What if I make a mistake when calculating the area of a rectangle? How do I correct it?

A: If you make a mistake when calculating the area of a rectangle, simply recheck your work and recalculate the area. Make sure to double-check your units and calculations.

Q: Can I use the area of a rectangle to calculate the perimeter of a rectangle?

A: Yes, you can use the area of a rectangle to calculate the perimeter of a rectangle. The perimeter of a rectangle is calculated by adding the lengths of all four sides. Since the area of a rectangle is equal to the length times the width, you can use the area to find the length or width, and then use that value to calculate the perimeter.

Q: What are some real-world applications of rectangle area calculation?

A: Some real-world applications of rectangle area calculation include:

  • Calculating the area of a room or a piece of land.
  • Determining the amount of material needed for a project.
  • Calculating the cost of materials for a project.
  • Designing buildings, bridges, and other structures.
  • Calculating the area of a garden or a farm.

Q: Can I use rectangle area calculation to solve problems in other areas of mathematics?

A: Yes, you can use rectangle area calculation to solve problems in other areas of mathematics, such as geometry, trigonometry, and algebra. Rectangle area calculation is a fundamental concept in mathematics that has many applications in other areas of mathematics.

Q: How do I practice rectangle area calculation?

A: You can practice rectangle area calculation by:

  • Using online calculators or worksheets to practice calculating the area of rectangles.
  • Creating your own problems and solutions to practice rectangle area calculation.
  • Working with a partner or in a group to practice rectangle area calculation.
  • Using real-world examples to practice rectangle area calculation.

Conclusion

In conclusion, rectangle area calculation is a fundamental concept in mathematics that has many applications in real-world problems. By understanding the formula and using the correct units, you can calculate the area of a rectangle with ease. Whether you are a student, a teacher, or a professional, these FAQs will help you understand the basics of rectangle area calculation.