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