Problem 2


ABCD is a two-by-two square.  E is the midpoint of AD.  Find the area of CDEF.


[Problem submitted by Juergen Pahl, LACC Professor of Mathematics.]















Solution for Problem 2:


 and , therefore the area of triangle ABE is 1 and



 and ,


which means that ABE and BCF are similar triangles. 





Area of triangle BCF is then


Area of CDEF