Categories
Beginner

The remote corner

A square and a circle. What is the green area?

Categories
Intermediate

Fair and square

Two squares of which three vertices form an isosceles triangle. What is the angle α?

Categories
Intermediate

The push-up

Two squares share a vertex. What’s the proportion x : y in terms of side lengths a and b?

Categories
Beginner

The glass ceiling

Three squares, two of which share a vertex. What is the total area?

Categories
Beginner

Three folds

A square divided by three line segments. What’s the proportion yellow : purple?

Categories
Beginner

Opposing camps

A square containing two overlapping equilateral triangles. What’s the length proportion a : b?

Categories
Intermediate

Égalité

A square with its diagonal and a circle. If red is equal to blue, what’s the angle α?

Categories
Beginner

The green necktie

A square with several line segments. What fraction is green?

Categories
Intermediate

House of Orange

A right triangle with a red and yellow square attached. Two circular arcs centered in the triangle vertices. What is the area of the orange rectangle in terms of red and yellow?

Categories
Intermediate

Head above water

A unit square with an extended side immersed in another square. What is the area of the red triangle?