A square with two perpendicular lines. What is the minimal blue fraction?
Tag: square
Softening the edges
A quarter circle contains a semicircle and a square. What fraction of the area is purple?
The honeycomb
Two regular hexagons inscribed in a square. If the hexagons have side length a and b, what is the square’s side length?
The folded napkin
A square sheet of paper is folded symmetrically from a corner. If the fold length is 4, what is the area of the triangle formed by the other three corners?
Together we stand
Two squares sharing a vertex. What’s the angle α?
The pleasure dome
A semicircle with three squares. The areas of the smaller squares are given. What is the area of the biggest one?
Triple dice
An equilateral triangle with three congruent squares. What’s the angle α?
Two congruent rectangles and squares. Proof that the four points are on one circle.
The satellite
A circle containing three squares. What fraction is coloured?
The Lion King II
A regular hexagon and three squares. What is the proportion yellow : brown?