Categories
Beginner

Longing for spring

Four semicircles and three line segments. What’s the proportion yellow : orange?

Categories
Intermediate

A light packing

A triangle containing two congruent squares. Each square has 1/3 the perimeter and 1/6 the area of the triangle. What’s the triangle side length proportion a : b : c?

Categories
Intermediate

The seesaw

A regular hexagon with three diagonals and two line segments at right angles. What is the proportion green : yellow : blue : orange?

Categories
Intermediate

The Zamani suggestion

Two regular hexagons share a vertex. What’s the area proportion red : yellow hexagon?

Categories
Intermediate

Pushing the boundary

Two equilateral triangles are placed side by side. What’s the proportion green : red?

Categories
Advanced

Square one

Three squares share a vertex. Two line segments pass through side midpoints. Prove that a : b = c : d.

Categories
Intermediate

Letting go

Two squares share a vertex. Three other vertices are collinear. What is the area proportion of the blue to the red square?

Categories
Beginner

Four to twelve

A regular dodecagon and a square share two vertices. What is the area proportion square : dodecagon?

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

Eight corners

A regular octagon with two diagonals and two squares. What’s the area proportion of the blue to the red square?