## Shaded Octagon

#### Problem

In the square below, each vertex is joined to the midpoint of the opposite sides and a star shape is formed.

What fraction of the square is shaded?

Problem ID: 298 (17 Dec 2006) Difficulty: 3 Star

In the square below, each vertex is joined to the midpoint of the opposite sides and a star shape is formed.

What fraction of the square is shaded?

Problem ID: 298 (17 Dec 2006) Difficulty: 3 Star