Answer:
when the signed you up for the honor class they probably expected you to know more
So based on your question where there is a rectangle inscribed in a semicircle or a radius 10 as shown in your figure. The possible function that could represent the are of the rectangle is A=2x*sqrt(100-x^2) i hope you are satisfied with my answer and feel free to ask for more
The distance from A to B will be negative when the line is trending downward from left to right.
The answer to the question is the second story problem