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HMMT November 2018 H7

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Ben "One Hunna Dolla" Franklin is flying a kite KITE such that IEI E is the perpendicular bisector of KTK T. Let IEI E meet KTK T at RR. The midpoints of KI,IT,TE,EKK I, I T, T E, E K are A,N,M,DA, N, M, D, respectively. Given that [MAKE]=18,IT=10,[RAIN]=4[M A K E]=18, I T=10,[R A I N]=4, find [DIME][D I M E].

Note: [X][X] denotes the area of the figure XX.

Dataset text NuminaMath olympiads. Quoted with source.

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