MathDB

Equilateral triangle

ABC

has

AD = DB = FG = AE = EC = 4

and

BF = GC = 2

. From

D

and

G

are drawn perpendiculars to

EF

intersecting at

H

and

I

, respectively. The three polygons

ECGI

FGI

, and

BFHD

are rearranged to

EANL

MNK

, and

AMJD

so that the rectangle

HLKJ

is formed. Find its area. https://cdn.artofproblemsolving.com/attachments/d/4/7e6667f0f0544b6fbc860f8d86c8ceaaf85cc1.png

Problem Statement