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area inside a rectangle (May Olympiad 2011 L1)

Source:

May 11, 2019
geometryrectanglearea of a triangleareas

Problem Statement

In the rectangle ABCD,BC=5,EC=1/3CDABCD, BC = 5, EC = 1/3 CD and FF is the point where AEAE and BDBD are cut. The triangle DFEDFE has area 1212 and the triangle ABFABF has area 2727. Find the area of the quadrilateral BCEFBCEF . https://1.bp.blogspot.com/-4w6e729AF9o/XNY9hqHaBaI/AAAAAAAAKL0/eCaNnWmgc7Yj9uV4z29JAvTcWCe21NIMgCK4BGAYYCw/s400/may%2B2011%2Bl1.png
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