Option (d)
Given:
The measure of the picture is 1 yard by 2/7 yard.
The objective is to find the perimeter of the picture.
The perimeter can be calculated by sum of all the sides of the picture.
[tex]\begin{gathered} P=1+\frac{2}{7}+1+\frac{2}{7} \\ P=1+1+\frac{2}{7}+\frac{2}{7} \\ P=2+\frac{4}{7} \\ P=\frac{2(7)+4}{7} \\ P=\frac{14+4}{7} \\ P=\frac{18}{7} \\ P=2\frac{4}{7}\text{ yd} \end{gathered}[/tex]Hence, option (d) is the correct answer.