Two regular hexagons inscribed in a square. If the hexagons have side length a and b, what is the square’s side length?

Scroll down for a solution to this problem.

## Solution

The square side is (a+b)5(3-√3)/4.

## Poem

The honey comb

A shelter nice and strong

A small edifice in wax

With sweetness to taste and to eat

A nectar droping out so soft

Very buzzy are the bees

They store up the golden honey drops

While working and singing

Bumping and buzzing in the garden

Feasting in their honeycomb.