olymmath

HMMT 2009 E3

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A rectangular piece of paper with side lengths 5 by 8 is folded along the dashed lines shown below, so that the folded flaps just touch at the corners as shown by the dotted lines. Find the area of the resulting trapezoid.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{55}{2}

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