#### Answer

Each side of the square is $\frac{13}{6}$ yards

#### Work Step by Step

The total length of the four sides of a square is 8$\frac{2}{3}$, which equals $\frac{26}{3}$. To find how long each sided of the square is, we divide the total length of the four sides by four since all sides of the square are equal in length.
$\frac{26}{3}$ $\div$ 4 = $\frac{26}{3}$ $\times$ $\frac{1}{4}$ = $\frac{26}{12}$
After factoring the numerator and the denominator, we obtain:
$\frac{13 \times 2}{6 \times 2}$
Cancel the common factors in the numerator and the denominator to obtain:
$\frac{13 \times 2}{6 \times 2}$ = $\frac{13}{6}$