# geometry

posted by
**jay**
.

The height of triangle ACE is 12 and base AE=20. A rectangle is inscribed in triangle ACE as shown in the diagram

a) express the rectangle's area as a function of x and y

b)Use the fact that triangle ACE is similar to BCD to write y as a function of x.

c)express the rectangle's area as a function of x only.

Find the maximum possible area of the rectangle.