Question from Tish, a student:

This question has a, b, c parts.

1. A square barn measures 14 meters on each side. A goat is tethered outside by a rope that is attached to one corner of the barn:
a. Suppose that the length of the rope is 8 meters. On how many square meters of land is the goat able to graze? What shape is formed?
b. Suppose that the rope is made twice as long as in part a. On how many square meters of land is the goat now able to graze?
c. Lastly, an addition to the barn was built making it rectangular with
dimensions 14 meters by 20 meters and extended the length of the rope to
24 meters, on how many square meters of land is the goat now able to graze?
meters