Consider the parabola with equation y = 1
4
x
2
shown in the figure. For any point (x, y) on the
parabola, we can form a parabolic rectangle. A parabolic rectangle has one vertex at (p, q), a second
vertex on the parabola, and the other vertices on the x-axis. The parabolic rectangle shown with a
vertex of (2,1) has an area of 4 square units.

● Part A: A parabolic rectangle has one vertex at (10, 25). What are the coordinates of the
other three vertices?
● Part B: What is the area of the parabolic rectangle having one vertex at (−6,0)?
● Part C: What is the area of the two parabolic rectangles that have a side length of 36?
● Part D: What is the area of the parabolic rectangle whose length and width are equal?