Categories
Advanced

The common ground

Two squares share a vertex. Two other vertices are 4 units apart. A third green square has the centres as opposite vertices. What is its area?

Categories
Beginner

The double bottom

A regular hexagon and a square share a vertex. What is the area proportion square : hexagon?

Categories
Beginner

Eleven

A square contains a yellow right triangle with an area of 11. What is the square’s area?

Categories
Advanced

Çetins circle

A square, a semicircle and six line segments. What’s the angle α?

Categories
Intermediate

The erratic spider

A square with several line segments. Prove that the blue ones are parallel.

Categories
Intermediate

Black and blue

A square with an extended side inside another square. What fraction of the latter is blue?

Categories
Beginner

Almost sunk

A square contains a right triangle. What fraction is red?

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
Beginner

The triskelion

A circle containing an equilateral triangle and three squares. What fraction is purple?

Categories
Beginner

The consonant squares

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