A dog is attached to a 21​-foot rope fastened to the outside corner of a​ fenced-in garden that measures 18 feet by 22 feet. Assuming that the dog cannot enter the​ garden, compute the exact area that the dog can wander.

I'm confused as to how they want me to solve this. I couldn't get the diagram to look right.

1 answer

the rope reaches around the corner on the 18 ft side, but not on the 22 ft side

so the area is half of a 42 ft dia circle, plus a quarter of a 6 ft dia circle