Rectangle PQRS has X and Y on the edges. Triangles PQY, YRX and XSP have equal areas. Prove X and Y divide the sides of PQRS in the golden ratio.
Straight lines are drawn from each corner of a square to the mid points of the opposite sides. Express the area of the octagon that is formed at the centre as a fraction of the area of the square.
A trapezium is divided into four triangles by its diagonals. Can you work out the area of the trapezium?
Find the ratio of the outer shaded area to the inner area for a six pointed star and the eight pointed star.