# geometry

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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.

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