ABC and DEF are equilateral triangles of side 3 and 4 respectively. Construct an equilateral triangle whose area is the sum of the area of ABC and DEF.
Dividing the Field
Age 14 to 16 Challenge Level
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?
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice.