Math New Drill (Level 1) : Geometry (Plane figure) Problem2(5) NAKANO ATTACHED TO MEIJI UNV.-2014

In the figure below, the area of triangle ADF, triangle DEF, triangle CEF, and triangle BCE is equal. 

Find the length of segment AD.



Answer
3 cm

Solution
AD : DE = 1 : 1 and AE : EB = 3 : 1 

Thus AD : DE : EB = 1.5 : 1.5 : 1 = 3 : 3 : 2 

AD = 8 cm × 3 / (3+3+2) = 3 cm