A square divided by a diagonal and another line segment. What fraction of its area is purple?

# Tag: fraction

## The chess board

A square is divided by six line segments. What fraction is brown?

## The residue

A parabola is tangent to two sides of a square and to the hypotenuse of an isosceles triangle. The three tangency points are shown. What fraction of the square is green?

## Down the tree

Two overlapping congruent isosceles triangles. What fraction of the total area is green?

## Lost in rotation

Four equilateral triangles inscribed in a fifth one. What fraction of the latter is coloured?

## The dog ear

A square contains a triangle. What fraction of the square is red?

## Arc de Triomphe

A parabola passing through a square’s bottom vertices and tangent to its top side. What fraction is blue?

## Square eyes

A square with four quarter circles of which the intersection points are the vertices of a yellow quadrilateral. What fraction of the total area is yellow?

## The Queen’s chamber

A right triangle with three squares forming a smaller inner triangle. What is the maximal blue fraction?

## The life net

The vertices of a regular hexagon are connected to midpoints of opposing sides. What fraction is red?