A rectangle is divided into four similar triangles. What fraction is blue?

# Tag: rectangle

## The righteous four

Four rectangles. The green and red rectangle are similar. What’s the area proportion of the orange and the blue rectangle?

## The misfit

A rectangle is inscribed in a regular hexagon, covering 14/27 of its area. What is red : yellow : green?

## Five to twelve

A square and a rectangle share two vertices. If the square has twice the area of the rectangle, what’s the angle Î±?

## The maxbox

A square containing a red square of variable size sharing a vertex with a blue rectangle. What is the maximal blue fraction?

## Lopsided

The apex of a parabola is the shared vertex of two rectangles. Proof that the rectangles are similar.

## The bell tolls

An equilateral triangle inscribed in a rectangle. What is its area X in terms of triangle areas A and B?

## The high seas

A rectangle containing four triangles. What is the total area?

## Overhanging rock

A rectangle with three line segments. What’s the proportion red : yellow?

## The secret document

One corner of a rectangular piece of paper is folded back and forth to the opposite side. What is the proportion red : blue?