Categories
Beginner

Crossing mountains

A rectangle with four line segments. What’s brown : blue?

Categories
Intermediate

The pink diamond

Two congruent rectangles inside a square. What fraction of the square is the rectangle overlap?

Categories
Beginner

The consonant squares

Four squares and a rectangle. What’s the angle α?

Categories
Intermediate

The domino effect

Two overlapping congruent rectangles. What’s the angle α?

Categories
Beginner

Squaring a rectangle

A regular hexagon, a square and a rectangle. What is the area proportion rectangle : square?

Categories
Intermediate

Star and stripes

Two concentric congruent squares and two red rectangles. What fraction of the total area is red?

Categories
Beginner

The triangular tiling

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

Categories
Intermediate

The righteous four

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

Categories
Intermediate

The misfit

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

Categories
Intermediate

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?