MathDB

Andrew takes a square sheet of paper

ABCD

of side length

1

and folds a kite shape. To do this, he takes the corners at

B

and

D

and folds the paper such that both corners now rest at a point

E

AC

. This fold results in two creases

CF

and

CG

, respectively, where

F

lies on

AB

and

G

lies on

AD

. Compute the length of

FG

18