Question: Pi asked Lee to solve the attached problem without using coordinate geometry and to show all steps involved in the solution. In rectangle ABCD, points

Pi asked Lee to solve the attached problem without using coordinate geometry and to show all steps involved in the solution.

In rectangle ABCD, points E, F, G and H lie on AB such that AE = EF = FG = GH = HB. Let M be the midpoint of DC. The diagonal AC intersects EM at I, FM at J, GM at K, and HM at L. E F G H B K L D M The area of ABCD is 90. Find the area of AILM

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