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?

# Tag: square

## The double bottom

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

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

## Çetins circle

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

## The erratic spider

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

## Black and blue

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

## Almost sunk

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

## 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?

## The triskelion

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

## The consonant squares

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