What is the area of the purple people eater, in terms of the lengths AD and BC?
Flying purple people eater

What is the area of the purple people eater, in terms of the lengths AD and BC?
What is the ratio of the blue and yellow lines?
Two squares sharing a vertex. Two vertices are connected by a line segment. What is yellow : green?
A quadrilateral and a triangle. What’s the angle α?
What is the area of the coloured figure? Can you determine the area without counting the number of squares in each different-coloured shape?
A parallelogram and four equilateral triangles. What is yellow : green?
A square with two right angles. What fraction is yellow?
Some chords and segments inside a semicircle. What is the ratio of red to blue?
How does the white area inside the big semicircle compare to the combined white areas of the 3 smaller semicircles below it? Equally coloured semicircles are congruent.
The red and green child-circles squeeze their father (the blue circle) in the back seat while their mother drives. Show that the orange points where the children sit and where the children are squeezing their father are concyclic.