The length of a rectangular plot of arable land is 2 5/8 km and the width is 5/7 of its length. Find the area of this plot.

Let us express the length of the segment as an irregular fraction:

2 5/8 = 21/8 km.

Since the width is 5/7 of the length, it is a wound:

21/8 * 5/7 = 15/8 km.

Then the area is equal to:

21/8 * 15/8 = 39.375 km ^ 2.

Since 1 km ^ 2 is 100 ha, then:

39.375 km ^ 2 = 39.375 * 100 = 3937.5 hectares.

Answer: the area of arable land is 3937.5 hectares.