A man leaves a piece of land (see below) to his four sons, with instructions that it should be divided up into 4 equal pieces, each having the same shape as the original piece of land. How can this be achieved?
Source: Julia Robinson Mathematics Festival
Area of land (trapezoid)
Area of each subdivided piece
Each subdivided piece has the same shape as the original land requires that
where is the length of the smaller base of the new trapezoid.
The land is subdivided as shown below
Answer: Given in solution.