Answer:
616 sq. feet and it will be a quarter circle.
Step-by-step explanation:
A square barn measures 40 feet on each side. A goat is attached to one corner of the barn by a rope that is 28 feet long.
See the attached diagram.
Now, A is the corner where the rope is attached.
So, the area where the goat will be able to graze in the area AEF which is nothing but a quarter circle as ∠ EAF = 90°.
So, the area of the quarter circle will be [tex]\frac{1}{4}\pi r^{2} = \frac{22 \times 28^{2} }{4 \times 7} = 616[/tex] sq. feet. (Answer)
