You may also like

problem icon

Dividing the Field

A farmer has a field which is the shape of a trapezium as illustrated below. To increase his profits he wishes to grow two different crops. To do this he would like to divide the field into two trapeziums each of equal area. How could he do this?

problem icon

Same Height

A trapezium is divided into four triangles by its diagonals. Suppose the two triangles containing the parallel sides have areas a and b, what is the area of the trapezium?

problem icon

Major Trapezium

A small circle in a square in a big circle in a trapezium. Using the measurements and clue given, find the area of the trapezium.

Garfield's Proof

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2
Work out the areas of the different parts of the picture below.

Can you work out any of the areas in different ways?