The Roy Problem, Vol. 1

All right, so there is a former student of mine who is about as competitive a student as I have ever had. Regardless of what class he is taking, he wants to be the best mathematician in the classroom, teacher included.

In the last week, he has taken to creating composite geometric figures that give as little information as possible while maintaining their ability to be solved. His goal is to stump me. So, I am going to post the problem to all of you.

Below is the first example that I will post. He has asked for the area and perimeter of the large composite figure. The curve on the bottom is a semicircle. Post clarifying questions in the comments. Enjoy.

The Roy Problem, vol. 2

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