MathDB

42

Part of 1983 IMO Longlists

Problems(1)

Find the ratio of the area of the octagon

Source:

10/7/2010
Consider the square ABCDABCD in which a segment is drawn between each vertex and the midpoints of both opposite sides. Find the ratio of the area of the octagon determined by these segments and the area of the square ABCD.ABCD.
ratiogeometrygeometry proposed