SOLUTION: Sam tied his dog on a 10 foot rope attached to one of the corner posts on the inside of his fence. How many square feet does the dog have to roam? The rectangle displays 28ft (

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Question 829547: Sam tied his dog on a 10 foot rope attached to one of the corner posts on the inside of his fence. How many square feet does the dog have to roam?
The rectangle displays 28ft (width) and 15ft (height).
I have tried by illustrating the corner post with the rope and the arc shape it would make if the dog went to either side of the yard, but I can't figure out the formula to decipher. I tried 28 x 15=140+280=420, but I know logically that answer doesn't make sense.
I greatly appreciate any assistance you can offer.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Sam tied his dog on a 10 foot rope attached to one of the corner posts on the inside of his fence.
How many square feet does the dog have to roam?
The rectangle displays 28ft (width) and 15ft (height).
:
Actually, if the dimensions of the yard is greater than 10 ft, the area of the
yard can be ignored.
:
A 10 ft rope attached to a corner of a rectangle, the dog has 1/4 of a circle to roam
A = 1%2F4*pi%2A10%5E2
A = 78.54 sq/ft