For MathsJam 2019 I wrote a poem, (Not) Squaring the Circle, which features the construction of squares with the same area as given polygons. To make the poem work I had to omit some of the details of the constructions, and a few people have asked for more information about how they work. There is an explanation of the first part of the poem here. This post explains the second part of the poem, including how to construct squares with the same area as given triangles, pentagons and other polygons.

For MathsJam 2019 I wrote a poem, (Not) Squaring the Circle, which features the construction of squares with the same area as given polygons. To make the poem work I had to omit some of the details of the constructions, and a few people have asked for more information about how they work. So here is an explanation of the first part of the poem, including some background on the problem and details of how to construct a square with the same area as a given rectangle.