olymmath

HMMT 2010 G2

  • Geometry
  • Answer

A rectangular piece of paper is folded along its diagonal (as depicted below) to form a non-convex pentagon that has an area of 710\frac{7}{10} of the area of the original rectangle. Find the ratio of the longer side of the rectangle to the shorter side of the rectangle.

Dataset text NuminaMath olympiads. Quoted with source.

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\sqrt{5}

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