Categories
Intermediate

The inner diamond

A triangle with side lengths a and b and an inscribed rhombus. What is the blue fraction in terms of a and b?

Categories
Intermediate

House of the rising sun

A semicircle, a circle, a square and an equilateral triangle. The two points are the tangency point and the semicircle centre. What fraction of the total area is yellow?

Categories
Advanced

Eye of the apple

A circle with an inscribed triangle with an inscribed circle. The centre of the large circle is on the small one. What fraction of the area is blue?

Categories
Beginner

Three squares a day

Three congruent squares inscribed in a rectangle. What fraction of the total area is green?

Categories
Intermediate

Similar intention

A cyclic quadrilateral and two diagonals. What fraction of its area is blue?

Categories
Beginner

The holy number

An equilateral triangle and several line segments. What fraction is purple?

Categories
Beginner

The Transamerica Pyramid

Two squares inscribed in a triangle. What fraction of its area is coloured?

Categories
Beginner

Trinity

Three squares are placed as shown. What fraction of the total area is green?

Categories
Intermediate

Mickey Mouse

Three regular pentagons and two extended sides. What fraction of the total area is red?

Categories
Beginner

Touché

A square containing a rectangle and a tangent quarter circle. What fraction is orange?