We invite you to solve the English version of the RTSdécouverte monthly problem: A very large swimming pool.

On a hot June day, a group of friends were lounging around Alice’s swimming pool. She was idly wondering how to construct a larger round pool which took up the maximum available surface in her square garden, leaving just enough space for a small rectangular path measuring 2 metres wide and 9 metres long.

What is the total surface area of Alices’s garden?

Stay tuned for the solution...

[© Mathscope - RTS Découverte]

Adapted from a MoMath problem – National Museum of Mathematics de New York