https://file.aiquickdraw.com/mathbot/file/1725926902797qozeyr16.jpg

The image you uploaded shows a rectangle with mixed numbers labeled for its length and width. The dimensions given are:

- Length: \(11 \frac{4}{5}\)
- Width: \(4 \frac{1}{5}\)

To calculate the area of the rectangle, we use the formula for the area of a rectangle:

\[
\text{Area} = \text{Length} \times \text{Width}
\]

Let's first convert the mixed numbers to improper fractions:

\[
11 \frac{4}{5} = \frac{11 \times 5 + 4}{5} = \frac{55 + 4}{5} = \frac{59}{5}
\]

\[
4 \frac{1}{5} = \frac{4 \times 5 + 1}{5} = \frac{20 + 1}{5} = \frac{21}{5}
\]

Now we can multiply the two fractions to find the area:

\[
\text{Area} = \frac{59}{5} \times \frac{21}{5} = \frac{59 \times 21}{5 \times 5} = \frac{1239}{25}
\]

Finally, converting the improper fraction back to a mixed number:

\[
\frac{1239}{25} = 49 \frac{14}{25}
\]

So, the area of the rectangle is:

\[
49 \frac{14}{25} \text{ square units}
\]

Would you like more details on any part of this calculation? 

Here are five related questions to deepen your understanding:
1. How do you convert any mixed number into an improper fraction?
2. How can you multiply two fractions step by step?
3. Can the same method be applied to other shapes, like triangles or circles?
4. How would you handle the calculation if the dimensions were given in decimals instead of fractions?
5. What is the perimeter of this rectangle, and how would you calculate it?

**Tip:** Always simplify mixed numbers and fractions before performing operations to avoid errors in larger calculations.

The image uploaded by the user shows a rectangle with dimensions 11 4/5 and 4 1/5. The user likely wants to calculate the area of the rectangle based on these dimensions.

Learn how to calculate the area of a rectangle with dimensions 11 4/5 by 4 1/5. This problem involves converting mixed numbers into improper fractions and applying the formula for the area of a rectangle. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation