# Tanton Square Challenge

- Author:
- michael.andrejkovics

- Topic:
- Square

The goal of this applet is to show geometrically, that
Below you see a unit square with 4 inscribed squares, each equal to 1/5 the total area.
The tan rectangle represents , the blue , and the red rectangle represents

Initially, for values of , the solution is trivial as
After crossing this threshold, a blue square, equal to appears,
and the problem is to show that the blue square contains enough
area to fill in the gaps left by the receding red square (in the lower right square)
Finally, when , the solution again becomes trivial because
for the remainder of possible lengths of a
The "Wrap" Blue area checkbox will rearrange the area of the blue square around the red
square to visually illustrate that the area is always greater than 1/5 of the entire area