A square inscribed in a triangle. Two areas are given. What is the square’s area?

# Category: Beginner

## The green field

A square is divided in two quadrilaterals of given area. What fraction of the square’s perimeter is red?

## The partial eclipse

Two circles and a radius connecting their centres. What is the length of the parallel chord?

Four quarter circles of radius 1, each containing a square. What is the blue area?

## The pillbox

Three touching circles in a rectangle and a common tangent. What’s the angle?

## The headphones

A unit square, a semicircle, a right triangle and an isosceles triangle. What is the total purple area?

Two similar rectangles. If the small one has area 4 what is the area of the large rectangle?

## The winged messenger

A semicircle and two quarter circles pass through the same point. What’s the angle α?

## The skyscraper

A blue parallelogram with an extended diagonal. What is the proportion green : orange?

## The seventies tipi

An isosceles triangle with two inscribed congruent semicircles. What is the angle α?