Answer:
20√5 yard.
Step-by-step explanation:
Given,
A path is made in 20 yd × 40 yd rectangular pasture using the diagonal pattern,
So, the length of the path = Diagonal of the rectangle having dimension 20 yd × 40 yd,
Since, the diagonal of a rectangle is,
\(d=\sqrt{l^2+w^2}\)
Where, l is the length of the rectangle and w is the width of the rectangle,
Here, l = 20 yd and w = 40 yd,
Thus, the diagonal of the rectangular pasture,
\(d=\sqrt{20^2+40^2}\)
\(=\sqrt{400+1600}\)
\(=\sqrt{2000}\)
\(=\sqrt{400\times 5}=20\sqrt{5}\)
Hence, the length of the path is 20√5 yd.