Question

1. a square has sides that measure 5 2/3 inches. what is the perimeter of the square?

Explanation:

Step1: Convert mixed number to improper fraction

The side length \(a = 5\frac{2}{3}=\frac{5\times3 + 2}{3}=\frac{15+ 2}{3}=\frac{17}{3}\) inches.

Step2: Use perimeter formula for square

The perimeter formula of a square is \(P = 4a\). Substitute \(a=\frac{17}{3}\) into the formula: \(P=4\times\frac{17}{3}=\frac{68}{3}\).

Step3: Convert improper fraction to mixed number

\(\frac{68}{3}=22\frac{2}{3}\) inches.

Answer:

\(22\frac{2}{3}\) inches