Question

a square with each side labeled ( 2 \frac{1}{5} ) yd. below the square, there is a text box followed by the word yards.

Explanation:

Step1: Convert mixed number to improper fraction

The side length of the square is \(2\frac{1}{5}\) yards. Convert \(2\frac{1}{5}\) to an improper fraction: \(2\frac{1}{5}=\frac{2\times5 + 1}{5}=\frac{11}{5}\) yards.

Step2: Calculate the perimeter of the square

The formula for the perimeter of a square is \(P = 4\times s\), where \(s\) is the side length. Substitute \(s=\frac{11}{5}\) into the formula: \(P = 4\times\frac{11}{5}=\frac{44}{5}\).

Step3: Convert back to mixed number (if needed)

Convert \(\frac{44}{5}\) to a mixed number: \(\frac{44}{5}=8\frac{4}{5}\) yards.

Answer:

\(8\frac{4}{5}\)