mathschallenge.net logo

Sloping Square

Problem

In unit square, ABCD, A is joined to the midpoint of BC, B is joined to the midpoint of CD, C is joined to the midpoint of DA, and D is joined to the midpoint of AB.


Find the area of the shaded square formed by this construction.

Problem ID: 179 (Oct 2004)     Difficulty: 2 Star

Show Problem & Solution