Answer:
Explanation:
The first figure attached is the sketch of the property mentioned on the question, where all the lengths listed are in meters.
The second figure attached identifies a right triangle whose hypotenuse, c, is the smallest length that the clothesline can measure; and the legs measure 20m, and 20m - 10m = 15m.
Now, you can use the Pythagorean theorem to find the smallest length of the clothesline:
[tex]c^2=(20m)^2+(15m)^2\\\\c^2=625m^2\\\\c=\sqrt{625m^2} \\\\c=25m\longleftarrow answer[/tex]