**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.

Therefore

_{}_{}

_{}

Area of triangle BCF
is then _{}

Area of CDEF _{}