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.