87 yards
Given the following parameters:
• Length of the rectangle = 63 yards
,• Width of the rectangle = 60 yards
The distance between opposite corners of the farmer's field is the diagonal of the rectangle.
To determine the diagonal of the rectangle (d), we will use the Pythagoras theorem:
[tex]\begin{gathered} d^2=l^2+w^2 \\ d^2=63^2+60^2 \\ d^2=3969+3600 \\ d^2=7,569 \\ d=\sqrt[]{7,569} \\ d=87yards \end{gathered}[/tex]Hence the distance between opposite corners of the farmers' field is 87 yards