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Square paper lengths

Source: 2007-2008 SDML Middle School 1b Problem 8

August 24, 2016

Problem Statement

A square sheet of paper that measures 1818 cm on a side has corners labeled AA, BB, CC, and DD in clockwise order. Point BB is folded over to a point EE on AD‾\overline{AD} with DE=6DE=6 cm and the paper is creased. When the paper is unfolded, the crease intersects side AB‾\overline{AB} at FF. Find the number of centimeters in FBFB.
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