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[ABCD] = n [CDE], areas in trapezoid - IOQM 2020-21 p1

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January 18, 2021
geometrytrapezoidareas

Problem Statement

Let ABCDABCD be a trapezium in which ABCDAB \parallel CD and AB=3CDAB = 3CD. Let EE be then midpoint of the diagonal BDBD. If [ABCD]=n×[CDE][ABCD] = n \times [CDE], what is the value of nn?
(Here [t][t] denotes the area of the geometrical figuret t.)