Suppose two convex quadrangles in the plane P and P′, share a point O such that, for every line l trough O, the segment along which l and P meet is longer then the segment along which l and P′ meet. Is it possible that the ratio of the area of P′ to the area of P is greater then 1.9? ratiogeometrygeometric transformationreflectionintegrationfunctionhomothety