https://file.aiquickdraw.com/mathbot/file/1729268601970uh9txhuw.jpg

To find the area of a rectangle, we use the formula:

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

In this problem, the dimensions of the rectangle are:
- Length = \( 5 \frac{1}{3} \) feet
- Width = \( \frac{1}{4} \) feet

### Step 1: Convert Mixed Numbers to Improper Fractions
Convert \( 5 \frac{1}{3} \) to an improper fraction:
\[
5 \frac{1}{3} = \frac{5 \times 3 + 1}{3} = \frac{15 + 1}{3} = \frac{16}{3}
\]

So, the dimensions are:
- Length = \( \frac{16}{3} \) feet
- Width = \( \frac{1}{4} \) feet

### Step 2: Multiply the Fractions
\[
\text{Area} = \frac{16}{3} \times \frac{1}{4} = \frac{16 \times 1}{3 \times 4} = \frac{16}{12}
\]

### Step 3: Simplify the Fraction
\[
\frac{16}{12} = \frac{4}{3}
\]

So, the area of the rectangle is \( \frac{4}{3} \) square feet.

### Final Answer
The area of the rectangle is \( \frac{4}{3} \) square feet.

Would you like more details or have any questions?

Here are some related questions:
1. How do you multiply mixed numbers without converting them to improper fractions?
2. What are the steps to simplify a fraction?
3. How can you convert an improper fraction back to a mixed number?
4. What is the formula for the area of other geometric shapes?
5. How do units affect the area calculation in different measurement systems?

**Tip:** When dealing with mixed numbers in calculations, it's often easier to first convert them to improper fractions.

Find the area of a rectangle with a width of 1/4 feet and a length of 5 1/3 feet.

Learn how to calculate the area of a rectangle with mixed number and fractional dimensions, such as 5 1/3 feet and 1/4 feet. This step-by-step solution explains how to convert mixed numbers to improper fractions and simplify the result.

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