Understanding the Length and Width

Oct 13, 2025 by recoveryshake.com 74 views

Introduction

When it comes to finding the area of a rectangle, we need to know the length and width of the rectangle. The formula for finding the area of a rectangle is length multiplied by width. In this article, we will explore how to find the area of a rectangle with a length of $3 \frac{1}{3}$ feet and a width of $1 \frac{3}{3}$ feet.

Understanding the Length and Width

To find the area of the rectangle, we need to understand the length and width. The length of the rectangle is given as $3 \frac{1}{3}$ feet, which can be converted to an improper fraction as $\frac{10}{3}$ feet. The width of the rectangle is given as $1 \frac{3}{3}$ feet, which can be converted to an improper fraction as $\frac{4}{3}$ feet.

Finding the Area

Now that we have the length and width of the rectangle, we can find the area by multiplying the length and width. The formula for finding the area of a rectangle is:

Area = length × width

Substituting the values of length and width, we get:

Area = $\frac{10}{3}$ × $\frac{4}{3}$

To multiply fractions, we multiply the numerators and denominators separately:

Area = $\frac{10 \times 4}{3 \times 3}$

Area = $\frac{40}{9}$

Converting the Answer to a Mixed Number

The answer $\frac{40}{9}$ can be converted to a mixed number as $4 \frac{4}{9}$ .

Conclusion

In this article, we found the area of a rectangle with a length of $3 \frac{1}{3}$ feet and a width of $1 \frac{3}{3}$ feet. We converted the length and width to improper fractions, multiplied them together to find the area, and then converted the answer to a mixed number.

Comparison with the Options

Now that we have found the area of the rectangle, we can compare it with the options given:

A. $2_3^7 \pi$

B. $3 \frac{2}{9} n^2$

C. $^{55}{ }^5 m$

D. $8 \frac{1}{3} \pi$

Our answer, $4 \frac{4}{9}$ , does not match any of the options. However, we can see that option D, $8 \frac{1}{3} \pi$ , is close to our answer. But, we must note that the answer we found is in feet, while option D is in terms of pi.

Final Answer

The final answer is $\boxed{4 \frac{4}{9}}$ square feet.

Discussion

The discussion of this problem revolves around the understanding of the length and width of the rectangle, the conversion of mixed numbers to improper fractions, and the multiplication of fractions to find the area. The comparison with the options shows that our answer does not match any of the options, but we can see that option D is close to our answer.

Conclusion

In conclusion, finding the area of a rectangle with a length of $3 \frac{1}{3}$ feet and a width of $1 \frac{3}{3}$ feet requires understanding the length and width, converting mixed numbers to improper fractions, and multiplying fractions to find the area. The final answer is $\boxed{4 \frac{4}{9}}$ square feet.

Introduction

In our previous article, we explored how to find the area of a rectangle with a length of $3 \frac{1}{3}$ feet and a width of $1 \frac{3}{3}$ feet. We converted the length and width to improper fractions, multiplied them together to find the area, and then converted the answer to a mixed number. In this article, we will answer some frequently asked questions about finding the area of a rectangle.

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

A: The formula for finding the area of a rectangle is length multiplied by width. Mathematically, this can be represented as:

Area = length × width

Q: How do I convert a mixed number to an improper fraction?

A: To convert a mixed number to an improper fraction, you need to multiply the whole number part by the denominator and then add the numerator. The result is the new numerator, and the denominator remains the same. For example, to convert $3 \frac{1}{3}$ to an improper fraction, you would multiply 3 by 3 and add 1, resulting in $\frac{10}{3}$ .

Q: How do I multiply fractions?

A: To multiply fractions, you multiply the numerators and denominators separately. For example, to multiply $\frac{2}{3}$ and $\frac{4}{5}$ , you would multiply 2 and 4 to get 8, and multiply 3 and 5 to get 15. The result is $\frac{8}{15}$ .

Q: What if the length and width are given as decimals?

A: If the length and width are given as decimals, you can convert them to fractions by writing the decimal as a fraction. For example, if the length is 3.33 feet, you can write it as $\frac{33}{10}$ feet. Then, you can multiply the fractions together to find the area.

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

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

Q: What if the length and width are given as variables?

A: If the length and width are given as variables, you can use algebra to find the area. For example, if the length is x and the width is y, you can multiply x and y together to get the area.

Q: Can I find the area of a rectangle with a length of 0 feet?

A: Yes, you can find the area of a rectangle with a length of 0 feet. Since the area is length multiplied by width, if the length is 0, the area will be 0, regardless of the width.

Q: Can I find the area of a rectangle with a width of 0 feet?

A: Yes, you can find the area of a rectangle with a width of 0 feet. Since the area is length multiplied by width, if the width is 0, the area will be 0, regardless of the length.

Conclusion

In conclusion, finding the area of a rectangle requires understanding the length and width, converting mixed numbers to improper fractions, and multiplying fractions to find the area. We hope this Q&A article has helped you understand the concept of finding the area of a rectangle.

Finding the perimeter of a rectangle
Finding the area of a triangle
Finding the volume of a rectangular prism

Final Answer

The final answer is $\boxed{4 \frac{4}{9}}$ square feet.