First, lets draw our rectangle:
So, our perimeter is the sum of all sides lengths, as follows:
[tex]\text{Perimeter}=\text{ }\frac{3}{4}\text{ + }\frac{3}{4}+\frac{5}{7}+\frac{5}{7}\text{ }\rightarrow\text{ Perimeter}=\text{ }\frac{6}{4}+\frac{10}{7}=\frac{6\times7}{4\times7}+\frac{10\times4}{4\times7}[/tex]Continuing our calculations:
[tex]\text{Perimeter}=\text{ }\frac{42}{28}\text{ + }\frac{40}{28}=\frac{82}{28}\rightarrow\text{Perimeter}=\text{ }\frac{41}{14}\text{ yard}[/tex]So, the perimeter is about 2.93 yards.