Two rods of length x and y are connected by two strings with a knot exactly halfway. The rods are placed parallel both with uncrossed and crossed strings. The distance between the knots is measured as a and b respectively. Express x and y in terms of a and b.
Two circles inscribed an a trapezium divided by a perpendicular line segment. What is the proportion of its length a and the side b?
A circle with its centre in the origin is cut by two parallel lines that are a distance d apart. One line is passing through the leftmost and one through the lowest point of the circle. What is the area of the green trapezium in terms of d?
A trapezium with it’s diagonals. Two areas are given. What faction is coloured?
A trapezium containing three right angles is split in two. What is the proportion of the areas yellow : blue?
A rectangle and several triangles. The orange triangle has the same area as the green trapezium. What’s the total coloured fraction?