Two regular hexagons inscribed in a square. If the hexagons have side length a and b, what is the square’s side length?
A square sheet of paper is folded symmetrically from a corner. If the fold length is 4, what is the area of the triangle formed by the other three corners?
Two squares sharing a vertex. What’s the angle α?
A semicircle with three squares. The areas of the smaller squares are given. What is the area of the biggest one?
An equilateral triangle with three congruent squares. What’s the angle α?
Two congruent rectangles and squares. Proof that the four points are on one circle.
A circle containing three squares. What fraction is coloured?
A regular hexagon and three squares. What is the proportion yellow : brown?
Four squares and five shared vertices. If the orange area is 4, what is the green area?
A square, two equilateral triangles and an extended side. What is the proportion yellow : blue?