Question

The height of triangle ACE is 12 and base AE = 20. A rectangle is inscribed in triangle ACE as shown below.?
a) Express the rectangle’s area as a
function of x and y.

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

c)Express the rectangle’s area as a function of only x.

d) Find the maximum possible area of the rectangle.