Two concentric congruent squares and two red rectangles. What fraction of the total area is red?
Tag: rectangle
The triangular tiling
A rectangle is divided into four similar triangles. What fraction is blue?
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 α?
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?